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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.

Answer & Explanation Solved by verified expert
4.4 Ratings (552 Votes)

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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