According to the Australian Government Department of Health, 41% of college students nationwide engage in “binge drinking” behaviour, having five or more drinks in one occasion during the past two weeks. The president of a prestigious college wonders if the proportion of students enrolled at the college that binge drink is actually lower than the national proportion. In a commissioned study, 348 students are selected randomly from a list of all students enrolled at the college. Of these, 132 admitted to having engaged in binge drinking.

The study proposes to test the hypotheses H0: p = 0.41, Ha: p < 0.41.

The P-value for this study is