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Underage drinking The Harvard College Alcohol Study finds that 67% of college students
Chapter 7, Problem 42(choose chapter or problem)
Underage drinking The Harvard College Alcohol Study finds that 67% of college students support efforts to crack down on underage drinking. Does this result hold at a large local college? To find out, college administrators survey an SRS of 100 students and find that 62 support a crackdown on underage drinking. (a) Suppose that the proportion of all students attending this college who support a crackdown is 67%, the same as the national proportion. What is the probability that the proportion in an SRS of 100 students is 0.62 or less? Show your work. (b) A writer in the colleges student paper says that support for a crackdown is lower at our school than nationally. Write a short letter to the editor explaining why the survey does not support this conclusion.
Questions & Answers
QUESTION:
Underage drinking The Harvard College Alcohol Study finds that 67% of college students support efforts to crack down on underage drinking. Does this result hold at a large local college? To find out, college administrators survey an SRS of 100 students and find that 62 support a crackdown on underage drinking. (a) Suppose that the proportion of all students attending this college who support a crackdown is 67%, the same as the national proportion. What is the probability that the proportion in an SRS of 100 students is 0.62 or less? Show your work. (b) A writer in the colleges student paper says that support for a crackdown is lower at our school than nationally. Write a short letter to the editor explaining why the survey does not support this conclusion.
ANSWER:Step 1 of 4
(a)
Given:
The sample proportion is the number of successes divided by the sample size:
The mean of the sampling distribution of is equal to the population proportion