20. Alzheimers. Testing for Alzheimers disease can be

Chapter 21, Problem 20

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20. Alzheimers. Testing for Alzheimers disease can be along and expensive process, consisting of lengthy testsand medical diagnosis. Recently, a group of researchers(Solomon et al., 1998) devised a 7-minute test to serve as aquick screen for the disease for use in the general populationof senior citizens. A patient who tested positivewould then go through the more expensive battery oftests and medical diagnosis. The authors reported a falsepositive rate of 4% and a false negative rate of 8%.a) Put this in the context of a hypothesis test. What arethe null and alternative hypotheses?b) What would a Type I error mean?c) What would a Type II error mean?d) Which is worse here, a Type I or Type II error? Explain.e) What is the power of this test?

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