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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
(a) State what is meant by Type I and Type II errors in this context.
(b) Find the value of a, the level of the test, if k = 6.
(c) For a = 0.05, what should be the value of k if the rejection region of the test is
{y ≤k}?
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. (a) State what is meant by Type I and Type II errors in this context. (b) Find the value of a, the level of the test, if k = 6. (c) For a = 0.05, what should be the value of k if the rejection region of the test is {y ≤k}?
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