Alzheimer’s Testing for Alzheimer’s 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 serveas a quick screen for the disease for use in the general population of senior citizens. A patient who tested posi-tive would then go through the more expensive 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 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?
Alzheimer’s Testing for Alzheimer’s 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 serveas a quick screen for the disease for use in the general population of senior citizens. A patient who tested posi-tive would then go through the more expensive 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 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
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 posi-
tive would then go through the more expensive battery of
tive 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%.
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?
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?
positive 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?
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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