Question

2. Researchers are evaluating a new drug for the treatment of Type II diabetes. They ran- domly assign 20 volunteers with a history of poor glucose control levels to two groups the Treatment group gets the experimental drug on trial, while the Control group re- ceives a standard drug. At the end of the clinical trial, participants have their A1C (glycated hemoglobin, a measure of long-term blood glucose levels) tested, the results are summarized in the table below Group A1C levels (% of glycated hemoglobin) Control 14.2 15.3. 16.1, 14.9, 13.7, 15.3, 14.8, 13.5, 14.3, 13.8 Treatment 10.6, 12.5. 13.8, 13.5, 10.2, 12.4, 13.2, 11.6, 11.7, 11.1 (a) An A1C below 5.7% is generally considered to be healthy while higher values are often associated with diabetes/pre-diabetes. Test at an α-1% level whether the entire sample above (the 20 volunteers) can indeed be considered drawn from the population of people with higher risk for diabetes/pre-diabetes. Detail all your steps in the testing procedure and conclude using the critical value approach. (b) Test now at α 5% whether the new drug leads to lower A1C levels on average than the standard drug. Detail all the steps and conclude using the p-value approach.

Answer 1

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