Use the following to answer the questions below:
A study conducted by the National Center of Health Statistics collects data on Vitamin D levels. In 2011-2014, in a sample of 3,929 non-Hispanic Blacks showed that 17.5% were Vitamin D deficient. A 95% confidence interval based on the sample is (0.152, 0.200).
-In a test of the hypotheses : = versus : ? , the observed sample results in a p-value of 0.0256. Would you expect a 95% confidence interval for based on this sample to contain 0?

Question

Use the following to answer the questions below:
A study conducted by the National Center of Health Statistics collects data on Vitamin D levels. In 2011-2014, in a sample of 3,929 non-Hispanic Blacks showed that 17.5% were Vitamin D deficient. A 95% confidence interval based on the sample is (0.152, 0.200).
-In a test of the hypotheses  :  =  versus  :  ?  , the observed sample results in a p-value of 0.0256. Would you expect a 95% confidence interval for  based on this sample to contain 0?

Quizplus · Accepted Answer

No, it would not contain 0. The small p-value means that the null hypothesis would be rejected at the 5% significance level and provides evidence that the two means are different. This means the sample suggests that 0 is not a plausible value for the difference in the two means. Since 0 is not a plausible value, it would not be included in the 95% confidence interval.

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