In a recent study; it was found that 62 percent of college students drink heavily and drive. Assuming all conditions are met, a police chief wanting to enact an emergency protocol for DWI/DUI wants to know if the claim is accurate. He took a sample of 70 college students who drank and drove and found that 46 of those students had a high blood alcohol level. Can we claim that more than 62 percent of all college students drink heavily and drive?

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In a recent study; it was found that 62 percent of college students drink heavily and drive. Assuming all conditions are met, a police chief wanting to enact an emergency protocol for DWI/DUI wants to know if the claim is accurate. He took a sample of 70 college students who drank and drove and found that 46 of those students had a high blood alcohol level. Can we claim that more than 62 percent of all college students drink heavily and drive?
 
Expert Solution
Step 1

The hypotheses can be constructed as:

Null hypothesis: H0: p = 0.62

Alternative hypothesis: H1: p > 0.62

The test is one tailed.

Given:

Sample size of students who drank and drove (n) = 70

Number of students who had a high blood alcohol level (x) = 46

The sample proportion can be obtained as:

Statistics homework question answer, step 1, image 1

Step 2

The single proportion z-test will be used. The value of the test statistic can be obtained as:

Statistics homework question answer, step 2, image 1

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