Question

30. According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), the National Institutes of Health (NIH), The mean number of alcoholic drinks consumed by college students per week nationwide is 5.3. A college president wonders if the mean number of drinks consumed per week by students enrolled at her college is actually lower than the national average. In a commissioned study, 68 students are selected rand om ly from a list of all students enrolled at the college. The mean number of drinks per week for the students in the sample was 4.7, and the standard deviation was 2.3. a. What are the null and alternative hypotheses? b. Based on these data, calculate the test statistic and the p-value. Please show all work and write down any calculator instructions used Determine whether or not to reject the null hypothesis at the a = .051level of significance and write a proper conclusion. C. Suppose the researcher reached an incorrect conclusion. Would this be a Type I or a Type Il error? Please justify your answer. d.

Answer 1

а) Test hypothesis are wwwwwe Ha u5.3 b) Given 4.7 s =2.3 n= 68 wwww wwwwwwww Given a 0.05 4.7-5.3 2.15 Test statistic z* /Nn 2.3 /V68 S p- Value 0.0158 c) Since p-value 0.05 hence reject the null hypothesis There is sufficient evidence to conclude that the mean number of drinks consumed per week by students is actually lower than the national average is 5.3 d) It is false positive finding (rejection of true null hypothesis) Турe I error