The Harvard College Alcohol Study finds that 67% of college students support eff

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 240 students and finds that 168 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 240 students is as large or larger than the result of the administration's sample? (Use a Normal approximation with a continuity correction to approximate the probability. Round your answer to four decimal places.)

Explanation / Answer

p = 168 / 240 = 0.7

P( p > 0.70)

P( z > 0.7 - 0.67 / srqt ( 0.67*0.33 / 240 ) )

P( z > 0.99 )

using tables of normal distribution

P( z > 0.99) = 0.1611

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