28. Alzheimer's Testing for Alzheimer's disease can be a long and expensive process, consisting of lengthy tests and medical diag- nosis. 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 expen sive battery of tests 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 are the null and alternative hypotheses? b) What would a Type I error mean? 0) What would a Type ]I error mean? (1) Which is worse here, a Type I or Type 11 error? Explain. e) What is the power of this test