Testing for Alzheimer's disease can be a long and expensive process, consisting of lengthy tests and medical diagnosis. 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%. Complete parts (@) through (e) below. 13 (a) Put this in the context of a hypothesis test. What are the null and alternative hypotheses? O A. The null hypothesis is that the person is healthy. The alternative is that the person has some disease or illness. O B. The null hypothesis is that the person has Alzheimer's disease. The alternative is that the person is healthy. O C. The null hypothesis is that the person is healthy. The alternative is that the person has Alzheimer's disease. O D. The null hypothesis is that the person has some disease or illness. The alternative is that the person is healthy. (b) What would a Type | error mean? O A. A Type l error is a false negative, meaning the person is diagnosed as having Alzheimer's disease when he/she does not. O B. A Type l error is a false negative, meaning the person has Alzheimer's disease but are diagnosed as being healthy. O C. A Type l error is a false positive, meaning the person has Alzheimer's disease but are diagnosed as being healthy. O D. A Type l error is a false positive, meaning the person is diagnosed as having Alzheimer's disease when he/she does not. (c) What would a Type II error mean? O A. A Type ll error is a false negative, meaning the person is diagnosed as having Alzheimer's disease when he/she does not. O B. A Type ll error is a false positive, meaning the person has Alzheimer's disease but are diagnosed as being healthy. O C. A Type ll error is a false positive, meaning the person is diagnosed as having Alzheimer's disease when he/she does not. O D. A Type ll error is a false negative, meaning the person has Alzheimer's disease but are diagnosed as being healthy. (d) Which is worse here, a Type I or Type II error? O A. A Type l error would require more testing, resulting in time and money lost. A Type II error would mean that the person did not receive the treatment he/she needed. A Type II error is much worse. O B. A Type l error would mean that the person did not receive the treatment he/she needed. A Type II error would require more testing, resulting in time and money lost. A Type II error is much worse. O C. A Type l error would require more testing, resulting in time and money lost. A Type II error would mean that the person did not receive the treatment he/she needed. A Type I error is much worse. O D. A Type I error would mean that the person did not receive the treatment he/she needed. A Type II error would require more testing, resulting in time and money lost. A Type I error is much worse. (e) What is the power of this test? O A. The power is 1 - P(Type II error) = 1 - 0.08 = 0.92. O B. The power is P(Type II error) = 0.08. O C. The power is 1 - P(Type | error) = 1 - 0.04 = 0.94. O D. The power is P(Type I error) = 0.04