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?
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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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:
Step 2
The single proportion z-test will be used. The value of the test statistic can be obtained as:
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