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In a recent poll, 44% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 150 randomly selected students on your campus and find that 74 of them would prefer a boy. (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 150 students, at least 74 would prefer a boy, assuming the true percentage is 44%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 74 students would prefer a boy is (Round to four decimal places as needed.) ec

In a recent poll, 44% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 150 randomly selected students on your campus and find that 74 of them would prefer a boy. (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 150 students, at least 74 would prefer a boy, assuming the true percentage is 44%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 74 students would prefer a boy is (Round to four decimal places as needed.) ec

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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In a recent poll, 44% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 150 randomly selected students on your campus and find that 74 of them would prefer a boy. (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 150 students, at least 74 would prefer a boy, assuming the true percentage is 44%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 74 students would prefer a boy is (Round to four decimal places as needed.) ec
Transcribed Image Text:In a recent poll, 44% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 150 randomly selected students on your campus and find that 74 of them would prefer a boy. (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 150 students, at least 74 would prefer a boy, assuming the true percentage is 44%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 74 students would prefer a boy is (Round to four decimal places as needed.) ec
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