Question

Winning team data were collected for teams in different​ sports, with the results given in the table below. Use the​ 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.	​TI-83/84 PLUS
	chi squared minus Testχ2−Test   chi squared equals 6.139318764χ2   Upper P equals 0.1050253349P   df equals 3

	BasketballBasketball	Baseball	Hockey	Football
Home team winsHome team wins	144144	6464	5454	7575
Visiting team winsVisiting team wins	7070	5353	4040	4343

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the null hypothesis that​ home/visitor wins are independent of the sport. It appears that the​ home-field advantage

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does not

does

depend on the sport.

Answer 1

let us consider the null and alternative hypothesis

Ho: home/visitor wins are independent of the sport

ha: home/visitor wins are dependent on the sport

we have given the output ,

Test χ2−Test   chi squared equals 6.139318764χ2    P equals 0.1050253349   df =3

since p value is greater than 0.05 so we do not reject the null hypothesis

the null hypothesis that​ home/visitor wins are independent of the sport is not rejected . It appears that the​ home-field advantage independent of the sport.