Question

4. (4pts) Calculate the test statistic, x^(2), for a chi-squared test for association using the following table. The following data represents the observed values and expected values of the eating habits of runners and swimmers for a random sample of adult athletes. Prefer to eat before Prefer to eat after Total workout workout Runner 68 121 189 Swimmer 128 249 201 390 Total 141

Answer 1

Using excel<data<megastat<chi square<contigency table

Chi-square Contingency Table Test for Independence
			Prefer to eat before workout	Prefer to eat after workout	Total
	Runner	Observed	68	121	189
		Expected	68.33	120.67	189.00
		O - E	-0.33	0.33	0.00
		(O - E)² / E	0.00	0.00	0.00
	Swimmer	Observed	73	128	201
		Expected	72.67	128.33	201.00
		O - E	0.33	-0.33	0.00
		(O - E)² / E	0.00	0.00	0.00
	Total	Observed	141	249	390
		Expected	141.00	249.00	390.00
		O - E	0.00000	0.00000	0.00000
		(O - E)² / E	0.00311	0.00176	0.004866
			.004866	chi-square
			1	df
			.9444	p-value

Answer: Chi square test = 0.004866