7.4.27-T complete) HW Score: 50%, 3.5 of 7 p Question Help C 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 your conducted a survey of 140 randomly selected students on your campus and find that 72 of them would prefer a boy. (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 140 students, at least 72 would prefer a boy, assuming the true percentage is 45%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 72 students would prefer a boy is (Round to four decimal places as needed.) 2 in the answer box and then click Check Answer.