A pharmaceutical company claims 90% success rate of a newly invented drug to treat arthritis pain. To examine the claim, a doctor administered the prescribed dose to 10 arthritis patients. She observed Y, the number of participants for which the drug was effective. A test is defined so as to reject Ho: p= 0.9 in favour of H.: P < 0.9 by the rejection region {y
A pharmaceutical company claims 90% success rate of a newly invented drug to treat arthritis pain. To examine the claim, a doctor administered the prescribed dose to 10 arthritis patients. She observed Y, the number of participants for which the drug was effective. A test is defined so as to reject Ho: p= 0.9 in favour of H.: P < 0.9 by the rejection region {y
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A pharmaceutical company claims 90% success rate of a newly invented drug to treat
arthritis pain. To examine the claim, a doctor administered the prescribed dose to 10
arthritis patients. She observed Y, the number of participants for which the drug was
effective. A test is defined so as to reject Ho: p = 0.9 in favour of Ha: p < 0.9 by
the rejection region {y < k} where k is a positive integer. Note that p is the population
proportion of arthritis patients for which the drug was effective.
(d) Find the power of the test for p = 0.3, 0.5, 0.7, 0.9.
(e) Sketch a graph of the power function against p (0 < p ≤ 1), and comment on how
the power changes as p changes. [Hint: You may use Table 1 in Appendix 3 of
WMS.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55521067-0384-497f-95f8-f51a06d5dbdf%2F18488bc8-282c-4e5d-b566-21f303cbeb59%2F1unpff5_processed.png&w=3840&q=75)
Transcribed Image Text:A pharmaceutical company claims 90% success rate of a newly invented drug to treat
arthritis pain. To examine the claim, a doctor administered the prescribed dose to 10
arthritis patients. She observed Y, the number of participants for which the drug was
effective. A test is defined so as to reject Ho: p = 0.9 in favour of Ha: p < 0.9 by
the rejection region {y < k} where k is a positive integer. Note that p is the population
proportion of arthritis patients for which the drug was effective.
(d) Find the power of the test for p = 0.3, 0.5, 0.7, 0.9.
(e) Sketch a graph of the power function against p (0 < p ≤ 1), and comment on how
the power changes as p changes. [Hint: You may use Table 1 in Appendix 3 of
WMS.]
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