Win/Loss and With/Without Joe: Joe plays basketball for the wildcats and missed some of the season due to an injury. The win/loss record with and without Joe is summarized in the contingency table below. Observed Frequenciesi O/s Wins Losses Totals With Joe 15 24 Without Joe 21 Totals 10 19 16 40 The Test: Test for a significant dependent relationship betvween the outcome of the game (win/lose) and whether or not Joe played. Conduct this test at the 0.01 significance level. (a) what is the null hypothesis for this test? O Họi The outcome of the game and whether or not Joe plays are dependent variables. O Hoi The outcome of the game and whether or not Joe plays are independent variables. O Hoi The probability of winning is dependent upon vwhether or not Joe plays. (b) what is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal places. (e) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places. p-value (d) what is the conclusion regarding the null hypothesia? O reject Ho O fall to reject Ho (e) Choose the appropriate concluding statement. O we have proven that Joe causes the team to do better. O The evidence suggests that the outcome of the game is dependent upon whether or not Joe played. O There is not enough evidence to conclude that the outcome of the game is dependent upon whether or not Joe played. O we have proven that the outcome of the game is independent of whether or not Joe played.

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