Question

Betty starred on a great number of game shows – and perhaps my favorite was Match Game. While Betty was a great player, did she do better with some contestants than others? Betty took a random sample of Match Game episodes and found that she matched the male contestants 264 out of 385 times and matched the female contestants 294 out of 377 times.

(a) Construct a 95% confidence interval for the difference in the proportion of the time Betty would match male contestants and the proportion of the time Betty would match female contestants.

(b) Based on your answer to (a), can we conclude that Betty matched one group of contestants better than the other?

Answer 1