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 0.050.05 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 3.076409776χ2=3.076409776   Upper P equals 0.3799936722P=0.3799936722   df equals 3df=3

	BasketballBasketball	Baseball	Hockey	Football
Home team winsHome team wins	111111	6767	5454	4141
Visiting team winsVisiting team wins	7474	5656	4343	4343

▼

Fail to reject

Reject

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

▼

does

does not

depend on the sport.

Answer 1

Fail to reject the null hypothesis that​ home/visitor wins are independent of the sport. It appears that the​ home-field advantage does not depend on the sport.

		Col 1	Col 2	Col 3	Col 4	Total
Row 1	Observed	111	67	54	41	273
	Expected	103.28	68.67	54.15	46.90	273.00
	O - E	7.72	-1.67	-0.15	-5.90	0.00
	(O - E)² / E	0.58	0.04	0.00	0.74	1.36
Row 2	Observed	74	56	43	43	216
	Expected	81.72	54.33	42.85	37.10	216.00
	O - E	-7.72	1.67	0.15	5.90	0.00
	(O - E)² / E	0.73	0.05	0.00	0.94	1.72
Total	Observed	185	123	97	84	489
	Expected	185.00	123.00	97.00	84.00	489.00
	O - E	0.00	0.00	0.00	0.00	0.00
	(O - E)² / E	1.31	0.09	0.00	1.68	3.08
		3.076409776	chi-square
		3	df
		.3799936722	p-value

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