Hypothesis Test 1
Cabrillo College is curious about how far the average person drives to the college. They wonder if
the average person drives less than 10 miles. We’re going to randomly sample 35 students to see.
State the null hypothesis:
State the alternative hypothesis:
Is this a one tail or two tail test? If one tail, which?
Since the standard deviation is NOT given, we will use which distribution?
We will use α=1%. What does this mean?
What is the critical value?
The sample shows a mean of 9.8 miles and a standard deviation of 5.4 miles.
What is the resulting test statistic?
What is the conclusion of the hypothesis test?
What is the p-value? What does that mean?
What would be an easy way to make this problem slightly more complicated while keeping it the
EXACT same problem?
Hypothesis Test 2, Proportion
It is believe that about 72% of the population thinks economists are useless to civilization. The
America Economic Association begins an advertising campaign to fight this. After the first month,
a survey of 200 people is conducted. 69% state that they believe economists are useless. Can we
conclude the campaign was effective?
State the null hypothesis:
State the alternative hypothesis:
Is this a one tail or two tail test? If one tail, which?
Do we know the standard deviation? Which distribution will we be using?
Let α = 5%. What does this mean?
What is the critical value?
Draw a bell curve to show the above.
What is the resulting test statistic?
What is the conclusion of the hypothesis test?
What is the p-value? What does that mean?
Homework: Section 9.2: #50, 58. Section 9.3: #16, 24, Section 9.4: #18, Section 9.5: #18
Note, we will also be doing section 13.1 on Hypothesis Testing with Regressions