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In a recent poll, 38% 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 70 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 70 would prefer a boy, assuming the true percentage is 38% (b) Does this result contradict the poll? Explain. (a) The probability that at least 70 students would prefer a boy is (Round to four decimal places as needed.)