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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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