Winning team data were collected for teams in dimerent sports, with the results

Question

Winning team data were collected for teams in dimerent sports, with the results given in the table below. Use the T18384 PLUS TI-83/84 Plus results at a 0.05 level of significance to test the claim that home/visitor wins are independent of the sport -14.370505323 P-0.002441 8502 Basebal 71 38 Football 43 40 Basketball Home team wins 14361 Visiting team wins 64 46 the null hypothesis that home/visitor wins are independent of the sport It appears that the home-feld advantage depend on the sport Reject Fail to reject Click to select your anss Type here to search ,F6 7 ,F4 5 F2 F3 F1 ESC 8

Explanation / Answer

Chi Square test is usually used to test the independence of two variables. The same has been done here.

The level of significance is 0.05 and the p value in the result is 0.00244

As the p-value is less than 0.05, we can safely conclude that the varibles are not indpendent of each other and there is some statistical relationship between them which is evident in the contigency table shown in the question.

Here, we are rejecting the null hypothesis because home field advantage does depend on the sport.

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