Results from the National Health Interview Survey show that among the U.S. adult population, 45.9% do...

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Results from the National Health Interview Survey show thatamong the U.S. adult population, 45.9% do not meet physicalactivity guidelines, 3.5% meet only strength activity, 29.0% meetonly aerobic activity, and 21.6% meet both strength and aerobicactivity. We sampled 4475 adults from Ohio and the results were asfollows: 50.0% do not meet physical activity guidelines, 5.0% meetonly strength activity, 35.0% meet only aerobic activity, and 10.0%meet both strength and aerobic activity. Conduct an appropriatehypothesis test to determine if the distribution in physicalactivity among Ohioans is similar to the U.S. population. Interpretyour results.

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here we want to test the

null hypothesis H0: physical activity among Ohioans is similar to the U.S. population

alternate hypothesis H0: physical activity among Ohioans is not similar to the U.S. population

we use chi-square test and chi-squar=sum((O-E)²/E)=379.48 with k-1=4-1=3 df and

critical chi-square(0.05,3)=7.81 is less than calculated chi-squre=379.48, so we reject the null hypothesis and conclude that distribution in physical activity among Ohioans is not similar to the U.S. population.

following information has been generated

group	Expected% (US)	Observed%(Ohiaonas)	Expected frequency(E)	Observedfrequency(O)	(O-E)	(O-E)²/E
donot meet physical activity	45.9	50	2054.025	2237.5	183.475	16.39
strength	3.5	5	156.625	223.75	67.125	28.77
aerobic	29	35	1297.75	1566.25	268.5	55.55
both strength and aerobic	21.6	10	966.6	447.5	-519.1	278.78
sum=	100	100	4475	4475	0	379.48
					critical chi-square(0.05,3)=	7.81

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