Question: Alzheimer's. Testing for Alzheimer's disease can be a long and expensive process, consisting of lengthy tests and medical diagnosis. Recently, a group of researchers (Solomon et al., 1998) devised a 7-minute test to serve as a quick screen for the disease for use in the general population of senior citizens. A patient who tested positive would then go through the more expensive battery of tests and medical diagnosis. The authors reported a false positive rate of \(4 \%\) and a false negative rate of \(8 \%\).

1. Put this in the context of a hypothesis test. What are the null and alternative hypotheses?
2. What would a Type I error mean?
3. What would a Type II error mean?
4. Which is worse here, a Type I or Type II error? Explain.
5. What is the power of this test?

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