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Posts: 259
3 weeks ago
Blood pressure Researchers developing new drugs must be concerned about possible side effects. They must check a new medication for arthritis to be sure that it does not cause an unsafe increase in blood pressure. They measure the blood pressures of a group of 12 subjects, then administer the drug and recheck the blood pressures one hour later. The drug will be approved for use unless there is evidence that blood pressure has increased an average of more than 20 points. They will test a hypothesis using

a. Write appropriate hypotheses (in words and in symbols).
b. In this context, which do you consider to be more serious - a Type I or a Type II error? Explain briefly.
c. After this experiment produced inconclusive results the researchers decided to test the drug again on another group of patients. Describe two changes they could make in their experiment to increase the power of their test, and explain the disadvantages of each.
Textbook 

Stats: Modeling the World


Edition: 4th
Authors:
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wrote...
Posts: 275
3 weeks ago
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a. H0: μd = 20  The mean increase in blood pressure is safe.
HA: μd > 20  The mean increase in blood pressure exceeds the safe limit.
b. Type II is dangerous; the medication is approved even though blood pressure increases too much. Type I means that an acceptable medication is not approved; that's too bad, but not dangerous.
c. Increase alpha; could lead to rejecting a medication that's actually okay. Increase n; more costly and difficult, and could endanger more subjects.
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