Statistics and Probability (STAT-112)
Grade 11 Week 11-20
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The “p hat” is calculated as
Select one:
a. Number of desired elements over the number of desired outcomes
b. Number of desired outcomes over the number of desired elements Correct
c. 1- (Number of desired elements over the number of desired outcomes)
d. (Number of desired outcomes over the number of desired elements) – 1
Feedback
The correct answer is: Number of desired outcomes over the number of desired elements
Sampling distribution of proportions is ______________ distributed
Select one:
a. Normally Correct
b. Randomly
c. Evenly
d. Unevenly
Feedback
The correct answer is: Normally
A survey was conducted to 300 Grade 10 students who have Internet access to determine who access
social media websites after attending classes. Based on the survey, 250 students responded Yes. What is
the population proportion to students who do not access social media after attending classes?
Select one:
a. 80%
b. 20%
c. 17% Correct
d. 83%
Feedback
The correct answer is: 17%
When the confidence level is 95%, the ____________________ are +- 1.96
Select one:
a. Margin of Errors
b. Confidence coefficients Correct
c. Confidence intervals
d. “p hat” values
Feedback
The correct answer is: Confidence coefficients
Point estimate is
Select one:
a. Always equal to the number or samples
b. A range of possible values for a population parameter.
c. Equal to the population mean
d. A statistical that estimates a population parameter Correct
Feedback
The correct answer is: A statistical that estimates a population parameter
The ̂p is the ____________ estimate of p.
Select one:
a. balanced
b. unbiased Correct
c. biased
d. inverse
Given n=10, x¯ =28, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution,
find the margin of error.
Select one:
a. 1.24 Correct
b. 26.76
c. 3.16
d. 0.63
Feedback
The correct answer is: 1.24
Given n=10, x¯ =28, s=2.0, 99% confidence. Assuming that the samples come from a normal distribution,
find the interval estimate of the population mean.
Select one:
a. (11.34, 14.89)
b. (1.63, 2.25)
c. (21.36, 24.63)
d. (26.36, 29.63) Correct
Feedback
The correct answer is: (26.36, 29.63)
What is in the center of the confidence interval?
Select one:
a. Margin of Error
b. Point Estimate Correct
c. Population Parameter
d. Number of samples
Feedback
The correct answer is: Point Estimate
In a survey of 500 individuals, 300 likes to eat dinner in a restaurant. Estimate the sample proportion ^p
of those who like to eat dinner in a restaurant based on the sample.
Select one:
a. 45%
b. 0.40
c. 55%
d. 0.60 Correct
Feedback
The correct answer is: 0.60
As the confidence interval for a given statistics increases in length, the confidence level ___________.
A: Increases - correct
Learning Activity 8 Stats
Margin of error is
Select one:
a. the product of confidence coefficient and standard deviation divided by the square root of the sample
size Correct
b. the quotient of confidence coefficient and standard deviation multiplied by the square root of the
sample size
c. the product of confidence coefficient and square root of the sample size divided by standard deviation
d. the quotient of confidence coefficient and square root of the sample size divided standard deviation
Feedback
The correct answer is: the product of confidence coefficient and standard deviation divided by the
square root of the sample size
Given n=100, x¯ =45, s=2.0, 90% confidence. Assuming that the samples come from a normal
distribution, find the interval estimate of the population mean.
Select one:
a. (42.103, 43.970)
b. (43.355, 46.645)
c. (44.461, 45.329) Incorrect
d. (46.921, 47.727)
Feedback
The correct answer is: (43.355, 46.645)
Given n=100, x¯ =80, s=2.0, 95% confidence. Assuming that the samples come from a normal
distribution, find the margin of error.
Select one:
a. 0.348 Incorrect
b. 0.20
c. 0.392
d. 0.196
Feedback
The correct answer is: 0.392
A survey was conducted from the 250 individuals. Based on the result of the survey, 170 are satisfied
with the current Local Government administration. Estimate the sample proportion ^p of those who are
not satisfied based on the sample provided.
Select one:
a. 55%
b. 0.32 Correct
c. 0.
d. 0.68
Feedback
The correct answer is: 0.32
A survey was conducted to 110 college students to determine who are using the Library Resource Center
of the university. Based on the survey, only 30% responded Yes. Based on the survey, how many
students are not using the Library Resource Center?
Select one:
a. 33
b. 30
c. 67 Correct
d. 70
Feedback
The correct answer is: 67
Learning Activity 9 Stats
A survey of 200 people finds that they work on average of 8 hours a day. If the margin of error at 98%
confidence level is 1.2 hours. How do you compute for the lower confidence interval?
Select one:
a. 8 hours less 1.2 hours
b. Z score plus less the square root of 8 hours less 1.2 hours Correct
c. None of the choices
d. 8 hours less 1.2 hours multiplied by the z score at 98% confidence level
Feedback
The correct answer is: Z score plus less the square root of 8 hours less 1.2 hours
King Lo Electronics claims that the new brand of computer will last for 25,000 hours. A research
company conducted a test on the information. The company randomly select and test 100 cellular
phone. The data from the sample shows that the mean life of the cellular phone is 20,000 hours, with a
standard deviation of 1000 hours. Determine the 95% confidence interval of the mean life of the cellular
phone.
Select one:
a. (17,482, 18,649)
b. (19,804, 20,196) Correct
c. (23,467, 24,639)
d. (26,928, 27,375)
Feedback
The correct answer is: (19,804, 20,196)
Given the sample size (n=400) and sample proportion (p=0.56), find the approximate margin of error for
the 99% confidence interval:
Select one:
a. 0.043 Incorrect
b. 0.052
c. 0.064
d. 0.074
Feedback
The correct answer is: 0.064
Given the sample size (n=200) and sample proportion (p=0.70), find the approximate margin of error for
the 90% confidence interval:
Select one:
a. 0.053
b. 0.085
c. 0.072 Incorrect
d. 0.039
Feedback
The correct answer is: 0.053
A private organization telephone poll of 750 adults, aged 18 and older, living in the country found that
60% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for
a second opinion or do additional research. The margin of error for this survey was given as ± 20
percentage points. Find a 95% confidence interval estimate of the percent of adults who feel confident
in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
Select one:
a. (0.490, 0.601)
b. (0.452, 0.538)
c. (0.565, 0.640) Correct
d. (0.316, 0.483)
Feedback
The correct answer is: (0.565, 0.640)
Short Quiz 9
Given the sample size (n=400) and sample proportion (p=0.70), find the approximate margin of error for
the 99% confidence interval:
Select one:
a. 0.086
b. 0.059
c. 0.039 Incorrect
d. 0.330
Feedback
The correct answer is: 0.059
Suppose a new cancer treatment is given to a sample of 500 patients. The treatment was successful for
300 of the patients. Assume that these patients are representative of the population of individuals who
have this cancer.
Determine a 90% confidence interval for the proportion successful treated.
Select one:
a. 0.564 < p < 0.640
b. 0.640 < p < 0.742 Incorrect
c. 0.742 < p < 0.834
d. 0.834 < p < 0.927
Feedback
The correct answer is: 0.564 < p < 0.640
A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that
75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for
a second opinion or do additional research. The margin of error for this survey was given as ±10
percentage points.
Find a 90% upper confidence interval estimate of the percent of adults who feel confident in the
accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
Select one:
a. 0.077
b. 0.329 Incorrect
c. 0.834
d. 0.290
Feedback
The correct answer is: 0.077
Lim Electronics claims that the new brand of cellular phone will last for 80,000 hours. A research
company conducted a test on the information. The company randomly select and test 100 cellular
phone. The data from the sample shows that the mean life of the cellular phone is 60,000 hours, with a
standard deviation of 1500 hours. Determine the 95% confidence interval of the mean life of the cellular
phone.
Select one:
a. (79,301 , 80,890) Incorrect
b. (59,706 , 60,294)
c. (59,301 , 60,890)
d. (79,706 , 80,294)
Feedback
The correct answer is: (59,706 , 60,294)
A survey of 900 female finds that they sleep on average of 8 hours a day. If the margin of error at 95%
confidence level is 1.3 hours. Find the confidence interval?
Select one:
a. 4.50 hours < p < 5.89 hours
b. 6.70 hours < p < 9.30 hours Correct
c. 8.66 hours < p < 11.26 hours
d. 7.34 hours < p < 8.66 hours
Feedback
The correct answer is: 6.70 hours < p < 9.30 hours
Given the sample size (n=300) and sample proportion (p=0.56), find the approximate margin of error for
the 90% confidence interval:
Select one:
a. 0.055
b. 0.069
c. 0.047 Correct
d. 0.039
Feedback
The correct answer is: 0.047
Given the problem in item 9, what does the answer tells about?
Select one:
a. Lim Electronics can use the survey conducted for their advertisements.
b. The confidence interval does not support the claim of Lim Electronics.
c. The confidence interval support the claim of Lim Electronics. Incorrect
d. The information is not sufficient to conclude.
Feedback
The correct answer is: The confidence interval does not support the claim of Lim Electronics.
A survey of 900 people finds that they work on average of 9 hours a day. If the margin of error at 98%
confidence level is 1.5 hours. What is the solution to find the lower confidence interval?
Select one:
a. Z score plus less the square root of 9 hours less 1.5 hours
b. None of the choices
c. 9 hours less 1.5 hours Correct
d. All of the choices
e. 9 hours less 1.5 hours multiplied by the z score at 98% confidence level
A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that
75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for
a second opinion or do additional research. The margin of error for this survey was given as ±10
percentage points.
Find a 90% lower confidence interval estimate of the percent of adults who feel confident in the
accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
Select one:
a. 0.0726
b. 0.8932
c. 0.4508 Incorrect
d. 0.0934
Feedback
The correct answer is: 0.0726
Suppose a new cancer treatment is given to a sample of 500 patients. The treatment was successful for
300 of the patients. Assume that these patients are representative of the population of individuals who
have this cancer.
Calculate the sample proportion that was successfully treated.
Select one:
a. 0.85 Incorrect
b. 0.72
c. 0.30
d. 0.60
Feedback
The correct answer is: 0.60
Learning Activity 10 Stats
Find the sample size given 95% confidence, Margin of Error = 0.15 and p ^ =0.25.
Select one:
a. 34 Incorrect
b. 33
c. 31
d. 32
Feedback
The correct answer is: 33
Find the sample size given 90% confidence, Margin of Error = 0.15 and ^p =0.25.
Select one:
a. 20 Incorrect
b. 22
c. 23
d. 21
Feedback
The correct answer is: 23
Find the sample size given 99% confidence, Margin of Error = 0.10 and ^p =0.35.
Select one:
a. 389
b. 215 Incorrect
c. 139
d. 152
Feedback
The correct answer is: 152
Find the sample size given 99% confidence, Margin of Error = 0.18 and ^p =0.30.
Select one:
a. 41
b. 42
c. 44 Incorrect
d. 43
Feedback
The correct answer is: 43
The Engineer of the building wants to use the proportion of the population to determine the sample size
needed to interview regarding their idea about the new color design of the building. He wants to be able
to assure with probability 0.90 that his error will be most 0.10. Similar surveys during past year that 85%
approved the new color design. How large a sample does the Engineer need?
Select one:
a. 278 Incorrect
b. 2,145
c. 1,372
d. 196
Feedback
The correct answer is: 196
Short Quiz 11 Stats
Determine whether each of the following is a null of an alternative hypothesis:
The proportion of computer in the software laboratory is lower than the total number of BS IT students
in the university.
Answer:
alternative hypothesis
Correct
Feedback
The correct answer is: Alternative hypothesis
The alternative hypothesis and null hypothesis should be ________________.
Select one:
a. Mutually exclusive
b. All of the choices
c. None of the choices
d. Mutually inclusive Correct
Feedback
The correct answer is: Mutually inclusive
Determine whether each of the following is a null of an alternative hypothesis:
The proportion of an employee income is greater than the monthly expenses of the employee.
Answer:
null hypothesis
Incorrect
Feedback
The correct answer is: Alternative hypothesis
William collected a random sample of 88 people, asking how many times they open ABC web site per
day on average, and calculated x¯ = 50.30. ABC suggests that µ = 55, and s = 10. William thinks the actual
mean is less than the website owner claims. What is the null and alternative hypothesis?
Select one:
a. 55
b. Null hypothesis µ = 55, Alternative hypothesis µ < 55
c. Null hypothesis µ ? 55, Alternative hypothesis µ
d. Null hypothesis µ > 55, Alternative hypothesis µ = 55
e. 55, Alternative hypothesis µ ? 55 Correct
f. Null hypothesis µ
Feedback
The correct answer is: Null hypothesis µ ≥ 55, Alternative hypothesis µ < 55
A type of test that is denoted by the symbol Ho.
Select one:
a. Rejection hypothesis Incorrect
b. Statistical hypothesis
c. Alternative hypothesis
d. Null hypothesis
Feedback
The correct answer is: Null hypothesis
The probability of making type I error is
Select one:
a. ß
b. 1- a
c. 1- ß
d. a Correct
e. µ - a
Feedback
The correct answer is: a
For the 99% confidence level,
Select one:
a. a
b. a
c. a
d. 0.001
e. a
f. 0.010
g. 0.005
h. 0.025 Correct
Feedback
The correct answer is: 0.010
Determine whether each of the following is a null of an alternative hypothesis:
A police precinct claims that there is ten crimes on the average are reported.
Answer:
alternative hypothesis
Incorrect
Feedback
The correct answer is: Null hypothesis
This refers to the area where the value of the test statistic lies for which we will reject the null
hypothesis.
Select one:
a. Rejection region and Null region
b. Rejection region and Critical region Correct
c. Null region and Critical region
d. Null region
e. Critical region
f. None of the choices
g. Rejection region
h. All of the choices
Feedback
The correct answer is: Rejection region and Critical region
Learning Activity 11 Stats
Determine whether each of the following is a null of an alternative hypothesis:
The average income of an employee is 12,000 pesos.
Answer:
null hypothesis
Correct
Feedback
The correct answer is: Null hypothesis
The level of significance is the
Select one:
a. 1 - p value
b. Same as confidence interval
c. Maximum allowable probability of Type II error
d. Minimum allowable probability of Type II error
e. Probability of committing a Type I error Correct
Feedback
The correct answer is: Probability of committing a Type I error
What is the null hypothesis to the claim that people like android phone than IOS? State the null
hypothesis.
Select one:
a. Less people like IOS than android
b. More people like android than IOS phone Correct
c. Less people like android and IOS phone
d. More people like IOS phone than android phone
Feedback
The correct answer is: More people like android than IOS phone
If the null hypothesis is true and rejected, the decision is incorrect – Type I Error
Select one:
a. Rejection Error
b. Type I Error Correct
c. Correction Error
d. Type II Error
Feedback
The correct answer is: Type I Error
Determine whether each of the following is a null of an alternative hypothesis:
The average internet usage of a College student is 6 hours.
Answer:
null hypothesis
Correct
Feedback
The correct answer is: Null hypothesis
Learning Activity 12 Stats
In hypothesis testing, the computed statistics is compared to the critical value for decision making.
Select one:
a. The statement is TRUE. Correct
b. The statement is FALSE.
Feedback
The correct answer is: The statement is TRUE.
This separates the rejection region to the region where we do not reject the null hypothesis.
Select one:
a. Z score
b. Null value Incorrect
c. Critical value
d. chi value
The correct answer is: Critical value
Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
–4
Select one:
a. Do not Reject
b. Reject Correct
c. Cannot be determined
Feedback
The correct answer is: Reject
St. Therese senior high school have an average achievement test score of 96. From a random sample of
49 students St. Therese students we find the average achievement test score to be 98 with a standard
deviation of 88. We want to know if these high school students are representative of the overall
population. What can we conclude based?
Select one:
a. Accept null hypothesis
b. Reject null hypothesis
c. Accept alternative hypothesis Incorrect
d. Reject alternative hypothesis
Feedback
The correct answer is: Accept null hypothesis
Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
2.35
Select one:
a. Cannot be determined
b. Reject
c. Do not Reject Incorrect
Feedback
The correct answer is: Reject
Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the
following. Express your answer in 2 decimal places. µ = 25, s = 5, n = 80, x¯ = 23.4
Answer:
-5 - wrong
Incorrect
Feedback
The correct answer is: -2.86
Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the
following. Express your answer in 2 decimal places. µ = 77, s = 6, n = 109, x¯ = 78.2
Answer:
-12.83
Incorrect
Feedback
The correct answer is: 2.09
Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the
following. Express your answer in 2 decimal places. µ = 8, σ = 4, n = 99, x̄ = 7.2
A: -1.99 - correct
Short Quiz 12
Consider the scenario: In a recent survey, 320 persons out of 35 reported that they prefer to ride in a
public utility air-conditioned vehicle rather than a jeepney. What is the value of the test statistics?
Select one:
a. 3.49 Incorrect
b. – 1.85
c. – 1.85
d. – 1.33
Feedback
The correct answer is: – 1.85
Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of
the following. Express your answer in 2 decimal places.
µ = 8.5, s = 4, n = 99, x¯ = 7.2
Answer:
34.32 - wrong
Incorrect
Feedback
The correct answer is: -3.23
Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
3.31
Select one:
a. Cannot be determined
b. Reject Correct
c. Do not Reject
Consider the scenario: In a recent survey, 320 persons out of 35 reported that they prefer to ride in a
public utility air-conditioned vehicle rather than a jeepney.
What can we conclude based the value of the test statistics?
Select one:
a. Reject null hypothesis
b. Accept alternative hypothesis Incorrect
c. Reject alternative hypothesis
d. Accept null hypothesis
Feedback
The correct answer is: Accept null hypothesis
Values supporting the ___________________ occurs in the rejection region.
Select one:
a. Critical values
b. Alternative hypothesis and critical values Incorrect
c. Null hypothesis
d. Null hypothesis and critical values
e. Alternative hypothesis
Feedback
The correct answer is: Null hypothesis and critical values
A sample is small when n=30.
Select one:
a. The statement is TRUE. Incorrect
b. The statement is FALSE. Replace the letter n with letter x.
c. The statement is FALSE. Replace the = with =
d. The statement is FALSE. Replace the word small with large.
Feedback
The correct answer is: The statement is FALSE. Replace the word small with large.
In hypothesis testing, the computed statistics is compared to the critical value for decision making.
Select one:
a. The statement is FALSE.
b. The statement is TRUE. Correct
Feedback
The correct answer is: The statement is TRUE.
Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
0.131
Select one:
a. Do not Reject
b. Reject Incorrect
c. Cannot be determined
Feedback
The correct answer is: Do not Reject
Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
1.11
Select one:
a. Cannot be determined
b. Do not Reject Correct
c. Reject
Feedback
The correct answer is: Do not Reject
Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of
the following. Express your answer in 2 decimal places.
µ = 77, s = 6, n = 109, x¯ = 78.2
Answer:
56.23
Incorrect
Feedback
The correct answer is: 2.09
Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of
the following. Express your answer in 2 decimal places.
µ = 8, s = 4, n = 99, x¯ = 7.2
Answer:
-1.99
Correct
Feedback
The correct answer is: -1.99
Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
1.20
Select one:
a. Cannot be determined
b. Reject
c. Do not Reject Correct
Feedback
The correct answer is: Do not Reject
Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
– 0.6
Select one:
a. Cannot be determined
b. Do not Reject Correct
c. Reject
Feedback
The correct answer is: Do not Reject
Learning Activity 13 Stats
A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample
of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
What is the standard error of the proportion?
Select one:
a. 0.033
b. 0.028
c. 0.066 Incorrect
d. 0.041
Feedback
The correct answer is: 0.041
A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample
of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
What is the observed value of the sample proportion?
Select one:
a. 0.932
b. 0.400
c. 0.783
d. 0.600 Incorrect
Feedback
The correct answer is: 0.400
A businessman is increasing his price for processed food, claiming that the cost of labor and material is
going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found
out that in 6 of the processed food, the cost of the material is higher.
What is the standard error of the proportion?
Select one:
a. 0.442 Incorrect
b. 0.391
c. 0.137
d. 0.296
Feedback
The correct answer is: 0.137
A businessman is increasing his price for processed food, claiming that the cost of labor and material is
going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found
out that in 6 of the processed food, the cost of the material is higher.
At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you
conclude?
Select one:
a. Reject the null hypothesis
b. Accept the null hypothesis Correct
Feedback
The correct answer is: Accept the null hypothesis
A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample
of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
At the 10% level of significance, test the Police Sub Station claims. Based on the test, what can you
conclude?
Select one:
a. Accept the null hypothesis Correct
b. Reject the null hypothesis
Feedback
The correct answer is: Accept the null hypothesis
A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample
of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
What is the test statistic for this scenario?
Select one:
a. -0.066
b. 2.112
c. -1.231
d. 1.992 Correct
Feedback
The correct answer is: 1.992
A businessman is increasing his price for processed food, claiming that the cost of labor and material is
going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found
out that in 6 of the processed food, the cost of the material is higher.
What is the test statistic for this scenario?
Select one:
a. 0.899
b. 1.203
c. 0.996
d. 1.095 Correct
Feedback
The correct answer is: 1.095
A businessman is increasing his price for processed food, claiming that the cost of labor and material is
going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found
out that in 6 of the processed food, the cost of the material is higher.
What is the observed value of the sample proportion?
A: 0.600
Short Quiz 13 Stats
The traffic management office claims that 65% of road accidents are related to motorcycles. In a random
sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
At the 10% level of significance, test the traffic management office’s claim. Based on the test, what can
you conclude?
Select one:
a. Accept the null hypothesis Correct
b. Reject the null hypothesis
Feedback
The correct answer is: Accept the null hypothesis
A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor
and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it
is found that in 20 of the projects the cost of the material is higher.
What is the test statistic for this scenario?
Select one:
a. 0.983
b. 2.181
c. 3.004
d. 1.191 Correct
Feedback
The correct answer is: 1.191
A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor
and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it
is found that in 20 of the projects the cost of the material is higher.
What is the standard error of the proportion?
Select one:
a. 0.087 Correct
b. 0.0632
c. 0.032
d. 0.051
Feedback
The correct answer is: 0.087
About 30% of the male population living in an urban area smokes cigarette. A researcher believes that
male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The
researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
What is the standard error of the proportion?
Select one:
a. 0.041
b. 0.089
c. 0.026 Correct
d. 0.011
Feedback
The correct answer is: 0.026
About 30% of the male population living in an urban area smokes cigarette. A researcher believes that
male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The
researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
What is the test statistic for this scenario?
Select one:
a. -2.729
b. -0.998
c. -3.661
d. -1.260 Correct
Feedback
The correct answer is: -1.260
About 30% of the male population living in an urban area smokes cigarette. A researcher believes that
male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The
researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
What is the observed value of the sample proportion?
Select one:
a. 0.372
b. 0.419
c. 0.267 Correct
d. 0.189
Feedback
The correct answer is: 0.267
fcost of the material is higher.
What is the observed value of the sample proportion?
Select one:
a. 0.667 Correct
b. 0.429
c. 0.739
d. 0.921
Feedback
The correct answer is: 0.667
The traffic management office claims that 65% of road accidents are related to motorcycles. In a random
sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
What is the test statistic for this scenario?
Select one:
a. 0.0548
b. 0.0808
c. 0.0993
d. 0.0741 Correct
Feedback
The correct answer is: 0.0741
A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor
and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it
is found that in 20 of the projects the cost of the material is higher.
At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you
conclude?
Select one:
a. Accept the null hypothesis Correct
b. Reject the null hypothesis
Feedback
The correct answer is: Accept the null hypothesis
The traffic management office claims that 65% of road accidents are related to motorcycles. In a random
sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
What is the observed value of the sample proportion?
Select one:
a. 0.963
b. 0.675 Correct
c. 0.367
d. 0.822
Feedback
The correct answer is: 0.675
Short Quiz 13 Stats
The traffic management office claims that 65% of road accidents are related to motorcycles. In a random
sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
At the 10% level of significance, test the traffic management office’s claim. Based on the test, what can
you conclude?
Select one:
a. Accept the null hypothesis Correct
b. Reject the null hypothesis
Feedback
The correct answer is: Accept the null hypothesis
A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor
and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it
is found that in 20 of the projects the cost of the material is higher.
What is the test statistic for this scenario?
Select one:
a. 0.983
b. 2.181
c. 3.004
d. 1.191 Correct
Feedback
The correct answer is: 1.191
A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor
and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it
is found that in 20 of the projects the cost of the material is higher.
What is the standard error of the proportion?
Select one:
a. 0.087 Correct
b. 0.0632
c. 0.032
d. 0.051
Feedback
The correct answer is: 0.087
About 30% of the male population living in an urban area smokes cigarette. A researcher believes that
male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The
researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
What is the standard error of the proportion?
Select one:
a. 0.041
b. 0.089
c. 0.026 Correct
d. 0.011
Feedback
The correct answer is: 0.026
About 30% of the male population living in an urban area smokes cigarette. A researcher believes that
male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The
researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
What is the test statistic for this scenario?
Select one:
a. -2.729
b. -0.998
c. -3.661
d. -1.260 Correct
Feedback
The correct answer is: -1.260
About 30% of the male population living in an urban area smokes cigarette. A researcher believes that
male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The
researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
What is the observed value of the sample proportion?
Select one:
a. 0.372
b. 0.419
c. 0.267 Correct
d. 0.189
Feedback
The correct answer is: 0.267
A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor
and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it
is found that in 20 of the projects the cost of the material is higher.
What is the observed value of the sample proportion?
Select one:
a. 0.667 Correct
b. 0.429
c. 0.739
d. 0.921
Feedback
The correct answer is: 0.667
The traffic management office claims that 65% of road accidents are related to motorcycles. In a random
sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
What is the test statistic for this scenario?
Select one:
a. 0.0548
b. 0.0808
c. 0.0993
d. 0.0741 Correct
Feedback
The correct answer is: 0.0741
A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor
and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it
is found that in 20 of the projects the cost of the material is higher.
At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you
conclude?
Select one:
a. Accept the null hypothesis Correct
b. Reject the null hypothesis
Feedback
The correct answer is: Accept the null hypothesis
The traffic management office claims that 65% of road accidents are related to motorcycles. In a random
sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
What is the observed value of the sample proportion?
Select one:
a. 0.963
b. 0.675 Correct
c. 0.367
d. 0.822
Feedback
The correct answer is: 0.675
The traffic management office claims that 65% of road accidents are related to motorcycles. In a random
sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
What is the standard error of the proportion?
Select one:
a. 0.062
b. 0.077
c. 0.034 correct
d. 0.045
Short quiz 14
In a ____________, high values in one variable correspond to high values in the other variable.
Select one:
a. Perfect Correlation Incorrect
b. Positive Correlation
c. Scattered Correlation
d. Negative Correlation
Feedback
The correct answer is: Positive Correlation
Graphical representation of the relationship between two variables.
Select one:
a. Line Plots Incorrect
b. XY intersection plot
c. scatter plot
d. Cartesian plane
Feedback
The correct answer is: scatter plot
When examining scatterplot and draw an ellipse around the data, long and narrow ellipses means
Select one:
a. Negative linear association
b. Weak linear association
c. Positive linear association Incorrect
d. Strong linear association
e. Cannot determine with the given information
Feedback
The correct answer is: Strong linear association
This measures relationship between bivariate data.
Select one:
a. None of the choices
b. Correlation Correct
c. All of the choices
d. Linear Regression
e. Scatterplot Analysis
Feedback
The correct answer is: Correlation
A _____________ is simply a scatterplot in which we connect successive chronological observations with
a line segment to give more information about how the data values are changing over a period of time.
Select one:
a. XY Plot
b. Scatter Plot
c. Correlation Plot
d. Line plot Correct
Feedback
The correct answer is: Line plot
The data had a _________________ when one variable increases, the other variable also decreases.
Select one:
a. negative linear association Incorrect
b. proportional association
c. elliptical association
d. positive linear association
Feedback
The correct answer is: positive linear association
The goal of examining bivariate data is to show some relativity or association between two or more
variables.
Select one:
a. The statement is TRUE. Incorrect
b. The statement is FALSE.
Feedback
The correct answer is: The statement is FALSE.
Learning Actvity 14 Stats
Given the data below, what is the direction of the association between the two variables.
Select one:
a. Positive linear association Incorrect
b. Weak linear association
c. Strong linear association
d. None of the choices
e. Negative linear association
Feedback
The correct answer is: Negative linear association
The data had a _________________ when one variable increases, the other variable also increases.
Select one:
a. positive linear association Correct
b. proportional association
c. elliptical association
d. negative linear association
Feedback
The correct answer is: positive linear association
The line that is closest to the points is called _____________.
Select one:
a. Trend line Correct
b. Correlation line
c. Cross line
d. Scatter line
Feedback
The correct answer is: Trend line
The three important characteristics of a bivariate?
Select one:
a. Elliptical, Rounded, Scattered
b. Proportional, Directional, Elliptical
c. Direction, Shape, Strength
d. Line, Points, Shape Incorrect
Feedback
The correct answer is: Direction, Shape, Strength
The series of disconnected points is referred to as _________________________
Select one:
a. XY Plots
b. Trend line plots
c. Bivariate data
d. scatter plot Correct
Feedback
The correct answer is: scatter plot
Short Quiz 15
Describe the relationship based when r value = 0.01
Select one:
a. No apparent correlation Correct
b. Weak positive correction
c. Strong positive correction
d. Minimal positive correction
Feedback
The correct answer is: No apparent correlation
Linear correlation coefficient is always a value between ____ and ____.
Select one:
a. 0, 100 Incorrect
b. 1, 100
c. +1, -1
d. 0, 1
Feedback
The correct answer is: +1, -1
Year and household monthly water consumption in the Philippines
Select one:
a. Water consumption is the explanatory variable and year is the response variable Incorrect
b. Year is the explanatory variable and water consumption is the response variable
c. Cannot be determined
Feedback
The correct answer is: Year is the explanatory variable and water consumption is the response variable
Describe the relationship based on the r-value r=0,
Select one:
a. No relationship
b. Deterministic relationship Incorrect
c. Weak relationship
d. Strong relationship
Feedback
The correct answer is: No relationship
The value of a perfect positive coefficient is ________.
Select one:
a. A positive number greater than 1
b. Equal to zero.
c. None of the choices
d. Equal to 1.
e. A positive number greater than 0. Incorrect
Feedback
The correct answer is: Equal to 1.
Describe the relationship based when r value = 0.75
Select one:
a. Minimal positive correction Incorrect
b. Weak positive correction
c. No apparent correlation
d. Strong positive correction
Feedback
The correct answer is: Strong positive correction
The variable that causes an effect
Select one:
a. Response variable
b. Explanatory variable Correct
c. Trend variable
d. Correlation variable
Feedback
The correct answer is: Explanatory variable
This pattern is produced when the score of one observation is high, the score of the other observation
to be high.
Select one:
a. XY Plot
b. Positive Correlation
c. Direct Correlation Incorrect
d. Negative Correlation
Feedback
The correct answer is: Positive Correlation
Year and household monthly water consumption in the Philippines
Select one:
a. Water consumption is the explanatory variable and year is the response variable Incorrect
b. Cannot be determined
c. Year is the explanatory variable and water consumption is the response variable
Feedback
The correct answer is: Year is the explanatory variable and water consumption is the response variable
The variable that reflects the effect
Select one:
a. Explanatory variable
b. Response variable Correct
c. Correlation variable
d. Trend variable
Feedback
The correct answer is: Response variable
Learning Activity 15 Stats
Describe the relationship based when r value = 0.63
Select one:
a. Minimal positive correction
b. Strong positive correction Correct
c. No apparent correlation
d. Weak positive correction
Feedback
The correct answer is: Strong positive correction
The symbol used to measure the strength and direction of a linear correlation
Select one:
a. r2
b. r
c. XY
d. None of the choices Incorrect
Feedback
The correct answer is: r
It is also called independent variable
Select one:
a. Explanatory variable
b. Response variable Incorrect
c. Trend variable
d. Correlation variable
Feedback
The correct answer is: Explanatory variable
Salary and number of years of experience
Select one:
a. Number of years is the explanatory variable and salary is the response variable Correct
b. Salary is the explanatory variable and number of years is the response variable
c. Cannot be determined
Feedback
The correct answer is: Number of years is the explanatory variable and salary is the response variable
Describe the relationship based when r value = 0.20
Select one:
a. No apparent correlation
b. Minimal positive correction Incorrect
c. Weak positive correction
d. Strong positive correction
Feedback
The correct answer is: Weak positive correction
Expenditure is an example of a
Select one:
a. Trend variable
b. Explanatory variable
c. Correlation variable
d. Response variable Correct
Feedback
The correct answer is: Response variable
Short Quiz 16 Stats
The equation y=2x2 + 9 will produce a
Select one:
a. Parabola Correct
b. Ellipse
c. Circle
d. Straight line
Feedback
The correct answer is: Parabola
When slope is positive,
Select one:
a. y increases as x increases Correct
b. y decreases as x increases
c. y increases, x values approaches point of origin
d. y decreases, x values approaches 1
Feedback
The correct answer is: y increases as x increases
In the slope-intercept equation of a line, the slope of the line is represented as the coefficient of the
variable x.
Select one:
a. FALSE
b. Cannot be determined
c. TRUE Correct
Feedback
The correct answer is: TRUE
Given the table below, what is the linear equation?
Select one:
a. y=3x + 11 Incorrect
b. y=6x + 5
c. y=8x + 3
d. y=3x + 8
Feedback
Your answer is incorrect.
The correct answer is: y=8x + 3
If the line has no slope,
Select one:
a. The line is a horizontal line
b. The line is at the point of origin
c. The line intercepts the x and y axis
d. The line lies at the x axis Incorrect
Feedback
The correct answer is: The line is a horizontal line
Given the table below, what is the slope?
Select one:
a. 9
b. 11
c. 8
d. 3 Incorrect
Feedback
Your answer is incorrect.
The correct answer is: 8
Given the equation y = 7x+ 30, what is the slope?
Answer:
4.2
Incorrect
Feedback
The correct answer is: 7
Given the table and graph, determine the slope intercept equation.
Select one:
a. y=5x + 1
b. y=10x + 2 Incorrect
c. y=5x + 2
d. y=10x + 1
Feedback
Your answer is incorrect.
The correct answer is: y=5x + 1
Given the equation 9y = 2x + 81, what is the y intercept?
Answer:
Incorrect
Feedback
The correct answer is: 9
The equation y=mx + b is also known as
Select one:
a. slope intercept form
b. y intercept Incorrect
c. correlation intercept form
d. xy intercept form
Feedback
The correct answer is: slope intercept form
Learning Activity 16 Stats
Given the equation y = 3x+ 10, what is the slope?
Answer:
3
Correct
Feedback
The correct answer is: 3
Given the table and graph, determine the slope intercept equation.
Select one:
a. y=3x + 1
b. 2y=6x + 3
c. y=-3x + 3 Correct
d. 2y=6x + 1
The correct answer is: y=-3x + 3
Given the table below, what is the slope?
Select one:
a. 2 Correct
b. 1
c. 8
d. 7
Feedback
Your answer is correct.
The correct answer is: 2
Given the equation 2y = 3x + 10, what is the y intercept?
Answer:
2
Incorrect
Feedback
The correct answer is: 5
Given the table below, what is the linear equation?
Select one:
a. y=2x + 7 Correct
b. y=5x + 2
c. y=7x + 1
d. y=7x + 5
Feedback
Your answer is correct.
The correct answer is: y=2x + 7
Write the slope-intercept equation of the line that has slope 6 and y-intercept 4.
answer: 6x+4
Sampling distribution of proportions is randomly distributed.
A: FALSE. Replace the word Sampling distribution with Confidence Coefficient - correct
Given n=60, x̄ =250, s=3, 99% confidence. Assuming that the samples come from a normal distribution, find
the interval estimate of the population mean.
A: (58.59, 61.41) - correct
Find the sample size given 95% confidence, Margin of Error = 0.12 and ̂p = 0.30.
A: 57 - correct
Margin of Error is in the center of the confidence interval?
A: FALSE. Replace the word “Margin of Error” with “Point Estimate” - correct
Given the sample size (n=230) and sample proportion (p=0.35), find the approximate margin of error for the
95% confidence interval:
A: 0.083 - correct
Find the sample size given 90% confidence, Margin of Error = 0.05 and ̂p =0.30.
A: 228 - correct
Find the sample size given 90% confidence, Margin of Error = 0.08 and ̂p =0.30.
A: 89 - correct
Find the sample size given 99% confidence, Margin of Error = 0.20 and ̂p =0.30.
A: 35 - correct
True of False. The series of disconnected points is referred to as Bivariate.
A: false - correct
Find the sample size given 99% confidence, Margin of Error = 0.25 and ̂p =0.30.
A: 23 - correct
Given n=20, x̄ =30, s=2, 90% confidence. Assuming that the samples come from a normal distribution, find the
margin of error.
A: 0.74 - correct
Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the
following. Express your answer in 2 decimal places.
µ = 20.8, σ = 4, n = 99, x̄ = 21.2
A: 0.99 - correct
Common choices of confidence level are
A: 90%, 95%, 99% - correct
Identify the following formula: 1- q̂
A: Sample Proportion - correct
Proportion is a fraction expression where the _____________________ is in the numerator and the
_____________________ is the denominator.
A: Favorable response, Total number of responses - correct
A sample is small when n≤30
A: The statement is FALSE. Replace the word small with large. - correct
Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
1.60
A: Do not Reject - correct
Find the sample size given 95% confidence, Margin of Error = 0.05 and ̂p=0.15.
A:196 - correct
Given n=50, x̄ =250, s=4, 90% confidence. Assuming that the samples come from a normal distribution, find
the interval estimate of the population mean.
A: (249.07, 250.93) – correct
Given the sample size (n=250) and sample proportion (p=0.40), find the approximate margin of error for the
90% confidence interval:
A: 0.05 - correct
Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the
following. Express your answer in 2 decimal places.
µ = 31.2, σ = 3, n = 66, x̄ = 32
A: 2.17 - correct
Find the sample size given 95% confidence, Margin of Error = 0.10 and ̂p =0.30.
A: 81 - correct
Find the sample size given 99% confidence, Margin of Error = 0.10 and ̂p =0.35.
A: 152 – correct
The management of a local grocery store wants to estimate the average amount their customers spend at
the store to within 0.50 pesos, with a 90% confidence. What is the minimum sample size required, if the
standard deviation is assumed to be 4.50 pesos.
A: 220 - correct
Find the sample size given 90% confidence, Margin of Error = 0.08 and ̂p =0.25.
A: 80 - correct
Find the sample size given 99% confidence, Margin of Error = 0.11 and ̂p = 0.35.
A: 126 - correct
Given the sample size (n=150) and sample proportion (p=0.35), find the approximate margin of error for the
95% confidence interval:
A: 0.07 – correct
A survey was conducted to 200 Grade 6 students who uses the internet in research instead of the school
library. Based on the survey, 160 students responded Yes. What is the population proportion to students who
uses the library in their research?
A: 80% - correct
St. Therese senior high school have an average achievement test score of 900. From a random sample of 169
students St. Therese students we find the average achievement test score to be 850 with a standard
deviation of 88. We want to know if these high school students are representative of the overall population:
What can we conclude based on the hypotheses and test statistic?
A: Reject null hypothesis - correct
Given n=20, x̄ =89, s=2, 99% confidence. Assuming that the samples come from a normal distribution, find the
margin of error.
A: 1.15 - correct
Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
0.1 – correct
Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
– 3.1
A: reject – correct
Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
1.0
A: do not reject - correct
When the confidence level is 90%, the Confidence coefficients is +A: 1.645 - correct
Bivariate is defined as the analysis of a single variable.
A: false - correct
Which of the following is a characteristics of a bivariate?
A: All of the choices - correct
Given the equation 3y = x+15, what is the y intercept?
A: 5 - correct
Given the equation 9y = x+9, what is the y intercept?
A: 1 - correct
Scatter plot is a series of connected points to form a line.
A: false - correct
Year is an example of a
A: Explanatory variable - correct
Given the equation y = 8x+ 14, what is the slope?
A: 8 - correct
A perfect correlation pattern is produced when
A: Points on a scatterplot lie on a straight line - correct
If the line has no slope or equal to zero
The line is a horizontal line - correct
The equation y=2x2 + 9 will produce a
A: parabola - correct
Three characteristics of a bivariate are
A: Shape, direction and strength - correct
Which of the following is INCORRECT about correlation coefficient.
A: correlation coefficient can never be a zero value - correct
The equation y=8x2 + 4 will produce a
A: parabola - correct
House rent and house floor area
A: House floor area is the explanatory variable and house rent is the response variable - correct
Given the equation 5y = 20x+ 30, what is the slope?
A: 4 - correct
In the slope-intercept equation of a line, the slope of the line is represented as the coefficient of the
variable y.
A: FALSE – correct
Given the equation 3y = 21x + 9, what is the slope?
A: 7
Given the equation 9y = 18x + 9, what is the slope?
A: 2
Using the following data, find the lower bound of confidence interval. Your answer must be in 3 decimal
places.
n=700, p̂ = 0.75, 95% confidence
A: 0.718 - correct
Using the following data, find the upper bound of confidence interval. Your answer must be in 3 decimal
places.
n=700, p̂ = 0.75, 95% confidence
A: 0.780 - correct
Using the following data, find the margin of error. Your answer must be in 3 decimal places
n=400, p̂ = 0.75, 90% confidence
A: 0.036 - correct
Given the following data, find the lower bound of confidence interval. Your answer must be in two decimal
places.
Sample size = 100, Mean = 80, Standard Deviation = 20, Confidence coefficient = 1.645
A: 76.71 - correct
Given the following data, find the lower bound of confidence interval. Your answer must be in two decimal
places.
Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
A: 69.84 – correct
Given the following data, find the upper bound of confidence interval. Your answer must be in two decimal
places.
Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
A: 80.16 - correct
Given the following data, find the margin of error. Your answer must be in two decimal places.
Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
A: 5.16 - correct