Do people have a preference for the last thing they taste? Researchers at the University of Michigan designed a study to find out. The researchers gave 22 students five different Hershey’s Kisses (milk chocolate, dark chocolate, crème, caramel, and almond) in random order and asked the student to rate each one. Participants were not told how many Kisses they would be tasting. However, when the 5th and final Kiss was presented, participants were told that it would be their last one. Assume that the participants in the study don’t have a special preference for the last thing they taste. That is, assume that the probability a person would prefer the last Kiss tasted is p = 0.20.

a. Find the probability that 14 or more students would prefer the last Kiss tasted.

b. Of the 22 students, 14 gave the final Kiss the highest rating. Does this give convincing evidence that the participants have a preference for the last thing they taste?