In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would prefer the child to be

[answerhappygod]

In a recent​ poll, 45​% of survey respondentssaid​ that, if they only had one​ child, they wouldprefer the child to be a boy. Suppose you conducted a surveyof 170 randomly selected students on your campus and findthat 84 of them would prefer a boy.
​(a) Use the normal approximation to the binomial to approximatethe probability​ that, in a random sampleof 170 ​students, at least 84 would prefera​ boy, assuming the true percentage is 45​%.
​(b) Does this result contradict the​ poll? Explain.