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In a recent​ poll, 4545​% of survey respondents said​ that, if they only had one​ child,...

In a recent​ poll,

4545​%

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

160 randomly selected students on your campus and find that 79 of them would prefer a boy.​(a) Use the normal approximation to the binomial to approximate the probability​ that, in a random sample of 160 students, at least 79 would prefer a​ boy, assuming the true percentage 45​%.

​(b) Does this result contradict the​ poll? Explain.

​(a) The probability that at least 79 students would prefer a boy

79 students would prefer a boy is

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