According to the national institute on alcohol abuse and alcoholism (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 the past two weeks. a college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. in a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. of these, 162 admitted to having engaged in binge drinking. based on the results of the test, a 95% confidence interval (using the plus four method) for the proportion of all students at this college that engage in binge drinking is