Question: The Harvard College Alcohol Study finds that 67% of college students support efforts to “crack down on underage drinking.” The study took a sample of almost 15,000 students, so the population proportion who support a crackdown is very close to p=0.67. The administration of your college surveys an SRS of 100 students and finds that 62 support a crackdown on underage drinking.

a. What is the sample proportion who support a crackdown on underage drinking?

b. If in fact the proportion of all students on your campus who support a crackdown is the same as the national 67%, what is the probability that the proportion in an SRS of 100 students is as small or smaller than the result of the administration’s sample?

c. A writer in the student paper says that support for a crackdown is lower on your campus than nationally. Write a short letter to the editor explaining why the survey does not support this conclusion.