The World Series in baseball is won by the first team to win four games (ignoring the 1903 and 1919- 1921 World Series, when it was a best of nine). Thus it takes at least four games and no more than seven games to establish a winner. If two teams are evenly matched, the probabilities of the series lasting 4, 5, 6, or 7 games are as given in the second column of the following table. From the Major League Baseball Web site in World Series Overview, we found that, historically, the actual numbers of times that the series lasted 4, 5, 6, or 7 games are as shown in the third column of the table.

a. At the 5% significance level, do the data provide sufficient evidence to conclude that World Series teams are not evenly matched?
b. Discuss the appropriateness of using the chi-square goodnessof fit test here.

Games Probability Actual 0.1250 0.2500 0.3125 0.3125 35