Chapter 15
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WebQuizzing – Ch. 15
Book ISBN-10 0538477490
Book ISBN-13 9780538477499
Author: Gerald Keller
Title: Statistics for Management and Economics
Ed: 9e
# Questions Submitted: 20 Multiple Choice
1. A chi-squared goodness-of-fit test is always conducted as a(n):
A. lower-tail test.
B. upper-tail test.
C. two-tail test.
D. All of these choices are true.
Analysis:
A. Incorrect. A chi-squared goodness-of-fit test is always conducted as an upper-tail test.
B. Correct. A chi-squared goodness-of-fit test is always conducted as an upper-tail test.
C. Incorrect. A chi-squared goodness-of-fit test is always conducted as an upper-tail test.
D. Incorrect. A chi-squared goodness-of-fit test is always conducted as an upper-tail test.
ANSWER: B Ref: Section 15.1
2. If each element in a population is classified into one and only one of several categories, the
population is:
A. normal.
B. multinomial.
C. chi-squared.
D. None of these choices.
Analysis:
A. Incorrect. The population is multinomial.
B. Correct. The population is multinomial.
C. Incorrect. The population is multinomial.
D. Incorrect. The population is multinomial.
ANSWER: B Ref: Section 15.1
3. To determine the critical values in the chi-squared distribution table, you need to know the:
A. degrees of freedom.
B. sample size.
C. probability of Type II error.
D. All of these choices are true.
Analysis:
A. Correct. You need to know the degrees of freedom.
B. Incorrect. You need to know the degrees of freedom.
C. Incorrect. You need to know the degrees of freedom.
D. Incorrect. You need to know the degrees of freedom.
ANSWER: A Ref: Section 15.1
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4. Which of the following represents H1 in a chi-squared goodness-of-fit test to see if all 5
colors of a certain candy appear in the same proportion in the population?
A. H1: p1 = p2 = p3 = p4 = p5 = 0.20.
B. H1: At least one proportion is not equal 0.20.
C. H1: None of these proportions are equal.
D. None of these choices.
Analysis:
A. Incorrect. H1: At least one proportion is not equal 0.20 represents H1
B. Correct. H1: At least one proportion is not equal 0.20 represents H1
C. Incorrect. H1: At least one proportion is not equal 0.20 represents H1
D. Incorrect. H1: At least one proportion is not equal 0.20 represents H1
ANSWER: B Ref: Section 15.1
5. If we use the  2 goodness-of-fit to test for the differences among 4 proportions, the degrees of
freedom is equal to:
A. 3
B. 4
C. 5
D. None of these choices.
Analysis:
A. Correct. The degrees of freedom is equal to 3
B. Incorrect. The degrees of freedom is equal to 3
C. Incorrect. The degrees of freedom is equal to 3
D. Incorrect. The degrees of freedom is equal to 3
ANSWER: A Ref: Section 15.1
6. The rule of five requires that the:
A. observed frequency for each cell must be at least 5.
B. degrees of freedom for the test must be at least 5.
C. expected frequency for each cell must be at least 5.
D. difference between the observed and expected frequency for each cell must be at least 5.
Analysis:
A. Incorrect. The rule of five requires that the expected frequency for each cell must be at least 5
B. Incorrect. The rule of five requires that the expected frequency for each cell must be at least 5
C. Correct. The rule of five requires that the expected frequency for each cell must be at least 5
D. Incorrect. The rule of five requires that the expected frequency for each cell must be at least 5
ANSWER: C Ref: Section 15.1
7. Which statistical technique is appropriate when we wish to analyze the relationship between
two qualitative variables with two or more categories?
A. The chi-squared test of a multinomial experiment.
B. The chi-squared test of a contingency table.
C. The t-test of the difference between two means.
D. The z test of the difference between two proportions.
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Analysis:
A. Incorrect. The chi-squared test of a contingency table.
B. Correct. The chi-squared test of a contingency table.
C. Incorrect. The chi-squared test of a contingency table.
D. Incorrect. The chi-squared test of a contingency table.
ANSWER: B Ref: Section 15.2
8. Contingency tables are used in:
A. testing independence of two samples.
B. testing dependence in matched pairs.
C. testing independence of two qualitative variables in a population.
D. describing a single population.
Analysis:
A. Incorrect. Contingency tables are used in testing independence of two qualitative variables in
a population.
B. Incorrect. Contingency tables are used in testing independence of two qualitative variables in
a population.
C. Correct. Contingency tables are used in testing independence of two qualitative variables in a
population.
D. Incorrect. Contingency tables are used in testing independence of two qualitative variables in
a population.
ANSWER: C Ref: Section 15.2
9. To address whether two variables are related in a contingency table, the null hypothesis, Ho
says that:
A. The two variables are independent.
B. The two variables are dependent.
C. The two variables are equal.
D. None of these choices.
Analysis:
A. Correct. Ho says that the two variables are independent.
B. Incorrect. Ho says that the two variables are independent.
C. Incorrect. Ho says that the two variables are independent.
D. Incorrect. Ho says that the two variables are independent.
ANSWER: A Ref: Section 15.2
10. To address whether two variables are related in a contingency table, the alternative
hypothesis, H1 is:
A. The two variables are independent.
B. The two variables are dependent.
C. The two variables are equal.
D. None of these choices.
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Analysis:
A. Incorrect. The alternative hypothesis, H1 is The two variables are dependent.
B. Correct. The alternative hypothesis, H1 is The two variables are dependent.
C. Incorrect. The alternative hypothesis, H1 is The two variables are dependent.
D. Incorrect. The alternative hypothesis, H1 is The two variables are dependent.
ANSWER: B Ref: Section 15.2
11. A large chi-squared test statistic in a test of a contingency table means you conclude:
A. The two nominal variables are dependent.
B. The two nominal variables are equal.
C. The two nominal variables have the same proportions listed in Ho.
D. None of these choices.
Analysis:
A. Correct. The two nominal variables are dependent.
B. Incorrect. The two nominal variables are dependent.
C. Incorrect. The two nominal variables are dependent.
D. Incorrect. The two nominal variables are dependent.
ANSWER: A Ref: Section 15.2
12. A chi-squared test statistic in a test of a contingency table that is equal to zero means:
A. The two nominal variables are independent.
B. The two nominal variables are equal.
C. The two nominal variables have the same proportions listed in Ho.
D. All of these choices.
Analysis:
A. Correct. It means the two nominal variables are independent.
B. Incorrect. It means the two nominal variables are independent.
C. Incorrect. It means the two nominal variables are independent.
D. Incorrect. It means the two nominal variables are independent.
ANSWER: A Ref: Section 15.2
13. If we want to conduct a two-tail test of a population proportion, we can employ:
A. z-test of a population proportion.
B. the chi-squared test of a binomial experiment since z 2   2 .
C. the chi-squared test of a contingency table.
D. Both (a) and (b)
Analysis:
A. Incorrect. Both (a) and (b)
B. Incorrect. Both (a) and (b)
C. Incorrect. Both (a) and (b)
D. Correct. We can employ both (a) and (b)
ANSWER: D Ref: Section 15.3
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14. Which statistical technique is appropriate when we describe a single population of qualitative
data with exactly two categories?
A. The z-test of a population proportion.
B. The chi-squared goodness-of-fit test.
C. The chi-squared test of a contingency table.
D. Both (a) and (b).
Analysis:
A. Incorrect. Both (a) and (b) are appropriate.
B. Incorrect. Both (a) and (b) are appropriate.
C. Incorrect. Both (a) and (b) are appropriate.
D. Correct. Both (a) and (b) are appropriate.
ANSWER: D Ref: Section 15.3
15. The chi-squared distribution is used in:
A. a goodness-of-fit test.
B. a test of a contingency table.
C. describing a population having more than two categories.
D. All of these choices are true.
Analysis:
A. Incorrect. All of these choices are true.
B. Incorrect. All of these choices are true.
C. Incorrect. All of these choices are true.
D. Correct. All of these choices are true.
ANSWER: D Ref: Section 15.3
16. Which statistical technique is appropriate when we compare two or more populations of
qualitative data with two or more categories?
A. The z-test of the difference between two proportions.
B. The chi-squared goodness-of-fit test.
C. The chi-squared test of a contingency table.
D. Both (a) and (b).
Analysis:
A. Incorrect. The chi-squared test of a contingency table is appropriate.
B. Incorrect. The chi-squared test of a contingency table is appropriate.
C. Correct. The chi-squared test of a contingency table is appropriate.
D. Incorrect. The chi-squared test of a contingency table is appropriate.
ANSWER: C Ref: Section 15.3
17. Which of the following tests is used to analyze nominal data?
A. The z test for one proportion, p, or difference of two proportions, p1  p2 .
B. The chi-squared goodness-of-fitness test.
C. The chi-squared test of a contingency table.
D. All of these choices are true.
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Analysis:
A. Incorrect. All of these choices are true.
B. Incorrect. All of these choices are true.
C. Incorrect. All of these choices are true.
D. Correct. All of these choices are true.
ANSWER: D Ref: Section 15.3