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In 2012 the Centers for Disease Control and Prevention reported that in a sample of 4,349...

In 2012 the Centers for Disease Control and Prevention reported that in a sample of 4,349 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.

  1. Define the appropriate parameter and state the appropriate hypotheses for testing the claim that, among African Americans, Vitamin D deficiency occurs at a rate other than 8%.

  1. 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.

  1. 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.

  1. In a test of the hypotheses vs. , 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? Briefly explain why or why not.

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orchestra answered 1 year ago
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