According to the National Institute on Alcohol Abuse andAlcoholism (NIAAA), and the National Institutes of Health (NIH),41% of college students nationwide engage in “binge drinking”behavior, having five or more drinks on one occasion during thepast two weeks. A college president wonders if the proportion ofstudents enrolled at her college that binge drink is lower than thenational proportion. In a commissioned study, 348 students areselected randomly from a list of all students enrolled at thecollege. Of these, 132 admitted to having engaged in bingedrinking

Based on the results of the test, a 95% confidence interval frothe proportion of all students at this college that engage in bingedrinking is

a. 0.330 to 0.431

b 0.338 to 0.423

c 0.341 to 0.420

d 0.343 to 0.418

The college prsident is more intersting in testing her suspicionthat the proportion of students at her callege thatbinge drink is lower than the national proportion of 0.41. Herstaff tests the hypotheses H0: p- 0.41, Ha p< 0.41.

The value of the z statistic for testing these hypotheses is

a -2.15

b 0.38

c -1.16

d 0.41

The P-value for the test statistic calculated above is

a between 0.15 and 0.20

b between 0.10 and 0.15

c between 0.05 and 0.10

d below 0.05