Win/Loss and With/Without Joe: Joe playsbasketball for the Wildcats and missed some of the season due to aninjury. The win/loss record with and without Joe is summarized inthe contingency table below.
Observed Frequencies: Oi's
| | | |
|   Wins  |   Losses  |   Totals  |
| With Joe  |   15  |   6  |   21  |
| Without Joe  |   6  |   13  |   19  |
| Totals  |   21  |   19  |   40  |
The Test: Test for a significant dependentrelationship between wins/losses and whether or not Joe played.Conduct this test at the 0.05 significance level.
(a) What is the test statistic? Round your answer to 3decimal places.
χ2
=
(b) What is the conclusion regarding the null hypothesis?
reject H0
fail to rejectH0Â Â Â Â
(c) Choose the appropriate concluding statement.
We have proven that Joe causes the team to do better.
The evidence suggests that the outcome of the game is dependentupon whether or not Joe played.    Â
There is not enough evidence to conclude that the outcome of thegame is dependent upon whether or not Joe played.
We have proven that the outcome of the game is independent ofwhether or not Joe played.
