In Exercise 4.40 on page 236, we introduce a series of Euchre games played between two teams: Team A and Team B. After 40 games, Team A has won 16 times and Team B has won 24 times. Can we conclude that one team is better than the other? Use the normal approximation to test this. Clearly state the null and alternative hypotheses, calculate the test statistic and p-value, and interpret the result.

Exercise 4.40

One of the authors and some statistician friends have an ongoing series of Euchre games that will stop when one of the two teams is deemed to be statistically significantly better than the other team. Euchre is a card game and each game results in a win for one team and a loss for the other. Only two teams are competing in this series, which we’ll call Team A and Team B.