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 130 randomly selected students on your campus and find that 72of them would prefer a boy.   ​(a) Use the normal approximation to the binomial to approximate the probability​ that, in a random sample of 130 ​students, at least 72would prefer a​ boy, assuming the true percentage is 45​%. ​(b) Does this result contradict the​ poll? Explain.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.