According to the Center for Disease Control (CDC), the percent of adults 20 year

Question

According to the Center for Disease Control (CDC), the percent of adults 20 years of age and over in the United States who are overweight is 69.0% (see http://www.cdc.gov/nchs/fastats/obesity-overweight.htm). One city’s council wants to know if the proportion of overweight citizens in their city is different from this known national proportion. They take a random sample of 150 adults 20 years of age or older in their city and find that 98 are classified as overweight.

What conclusion can we make at the 95% confidence level?

A) P-Value < .05 so do not reject the null hypothesis

B) P-Value < .05 so reject the null hypothesis

C) P-Value > .05 so do not reject the null hypothesis

D) P-Value > .05 so reject the null hypothesis

Explanation / Answer

Standard error = sqrt (0.69 * (1-0.69)/150) = 0.0378

Test statistic = (98/150 - 0.69) / 0.0378 = - 0.97

P-value = 2 * P(Z < - 0.97) = 2 * 0.166 = 0.332

Option-C) p-value > 0.05, so do not reject the null hypothesis

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