World Series. 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 document World Series History on the Baseball Almanac website, as of November 2013, 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.

Games Probability Actual 4 0.1250 21 5 0.2500 24 6 0.3125 24 7 0.3125 36

a. At the 5% significance level, do the data provide sufficient evidence to conclude that World Series teams are not evenly matched?

b. Repeat part

(a) at the 10% significance level.

c. Discuss the appropriateness of using the chi-square goodness-offit test here.