According to a USA Today “Snapshot,” 3% of Americans surveyed lie frequently. You conduct a survey of 500 college students and ﬁnd that 20 of them lie frequently.
(a) Compute the probability that, in a random sample of 500 college students, at least 20 lie frequently, assuming the true percentage is 3%.
(b) Does this result contradict the USA Today “Snapshot”? Explain.