Reference no: EM132488145

In 2012 the centers for disease control and prevention reported that in a sample of 4349 african americans 31% were vitamin D deficient. A 90% confidence interval based on this sample is (0.30, 0.32). It is believed that among the general population of Americans 8% suffer from Vitamin D deficiency

A. Define the appropriate parameter and state the appropriate hypotheses testing the claim that among African-Americans vitamin D deficiency occurs at a rate other than 8%

B. Does this confidence interval provide evidence that among african americans vitamin D deficiency occurs at a rate other than 8%? What significance level is being used to make this decision? Briefly justify your answer

C. Using the definition of a p value explain why the area in the tail of a randomization distribution is used to compute a p value

D. In a test of hypotheses H_0 : µ1 = µ2 vs H_a : µ1 does not= µ2 the observed sample results in a p value of 0.0256. Would you expect a 95% confidence interval for µ1 - µ2 based on this sample to contain 0? Briefly explain why or why not