35

160

71

160

71

35

71

nothing

In a recent poll, 35% 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 160 randomly selected students on your campus and find that 71 of them would prefer a boy. Complete parts (a) and (b) below. Click here to view the standard normal distribution table (page 1).1 Click here to view the standard normal distribution table (page 2).2 (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 71 would prefer a boy, assuming the true percentage is 35%. The probability that at least 71 students would prefer a boy is (Round to four decimal places as needed.) (b) Does this result contradict the poll? Explain. O A. Yes, because the probability from part (a) is less than 0.05. Therefore, the survey results are unusual. O B. Yes, because the probability from part (a) is greater than 0.05. Therefore, the survey results are unusual. O C. No, because the probability from part (a) is greater than 0.05. Therefore, the survey results are not unusual. O D. No, because the probability from part (a) is less than 0.05. Therefore, the survey results are not unusual. 1: Standard Normal Distribution Table (page 1)