Question

Win/Loss and Home/Visitor: The home and visitor record for the Philadelphia 76ers 2012/2013 regular season is given in the contingency table to the right.

Observed Frequencies: O_i's

	Wins	Losses	Totals
Home	23	18	41
Visitor	11	30	41
Totals	34	48	82

The Test: Test whether or not there is a significant dependent relationship between wins/losses and the home/visitor status of the team. Conduct this test at the 0.05 significance level.

(a) What is the test statistic? Round your answer to 3 decimal places.

χ²=

(b) What is the conclusion regarding the null hypothesis?

reject H₀

fail to reject H₀    

(c) Choose the appropriate concluding statement.

We have proven that playing at home causes the team to win more games.

The evidence suggests that the outcome of the game is dependent upon whether or not it was played at home.     

There is not enough evidence to conclude that the outcome of the game is dependent upon whether or not the it was played at home.

We have proven that the outcome of the game is independent of whether or not the game is played at home or away.

Answer 1