In a recent​ poll, 45​% 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 170 randomly selected students on your campus and find that 84of them would prefer a boy.   ​(a) Use the normal approximation to the binomial to approximate the probability​ that, in a random sample of 170​students, at least 84would prefer a​ boy, assuming the true percentage is 45​%. ​(b) Does this result contradict the​ poll? Explain.   ​(a) The probability that at least 84 students would prefer a boy is

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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In a recent​ poll, 45​% 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 170 randomly selected students on your campus and find that 84
of them would prefer a boy.
 
​(a) Use the normal approximation to the binomial to approximate the probability​ that, in a random sample of 170​students, at least 84
would prefer a​ boy, assuming the true percentage is 45​%.
​(b) Does this result contradict the​ poll? Explain.
 
​(a) The probability that at least 84 students would prefer a boy is
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