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 73 of them would prefer a boy.

Use the normal approximation to the binomial to approximate the probability that, in a random sample of 150 students, at least 73 would prefer a boy, assuming the true percentage is 38%.