According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test.   A. Define the null and alternative hypotheses to test this claim.             B. By hand, calculate the test statistic for this test.                       C. Use Statkey to perform the appropriate test and identify the resulting p-value.

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According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking.

The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test.

 

A. Define the null and alternative hypotheses to test this claim.

 

 

 

 

 

 

B. By hand, calculate the test statistic for this test.      

 

 

 

 

 

 

 

 

C. Use Statkey to perform the appropriate test and identify the resulting p-value.

 

 

 

 

 

D. At =.05 significance level, what would you tell the president of the college regarding the school’s proportion of binge drinkers as compared to the national average?

 

 

 

 

 

 

 

 

E. In order to have a margin of error of 2% with 95% confidence, what sample size would researchers have needed to use if they use a generic proportion of p = 0.5?

 

 

 

 

 

 

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