The Harvard College Alcohol Study finds that 67% of college students support efforts to “crack down on underage drinking

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 200 students and finds that 140 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 200 students is as large or larger than the result of the administration’s sample?