Question

Please give solution and explain why. Thank you!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 for the proportion of all students at this college that engage in binge drinking is  0.318 to 0.384.0.309 to 0.395.0.321 to 0.381.0.325 to 0.377.

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