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versus Ha: p < 0.75. Assume that the rejection region {y < 6} is used. What is B (the probability of type II error) when p = 0.5?

versus Ha: p < 0.75. Assume that the rejection region {y < 6} is used. What is B (the probability of type II error) when p = 0.5?

MATLAB: An Introduction with Applications
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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[STATISTICS] MULTIPLE CHOICE: Which option is correct?

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An experimenter has prepared a drug dosage level that she claims will induce sleep for 75% of people suffering from insomnia. After examining the dosage, we feel that her claims regarding the effectiveness of the dosage are inflated. In an attempt to disprove her claim, we administer her prescribed dosage to 12 insomniacs and we observe Y, the number for whom the drug dose induces sleep. We wish to test the hypothesis Ho: p = 0.75 versus Ha: p < 0.75. Assume that the rejection region {y ≤ 6} is used. What is 6 (the probability of type II error) when p = 0.5? Note: Please round your answer to four decimal places. O 0.0544 O 0.0416 O 0.3872 O 0.0634
Transcribed Image Text:An experimenter has prepared a drug dosage level that she claims will induce sleep for 75% of people suffering from insomnia. After examining the dosage, we feel that her claims regarding the effectiveness of the dosage are inflated. In an attempt to disprove her claim, we administer her prescribed dosage to 12 insomniacs and we observe Y, the number for whom the drug dose induces sleep. We wish to test the hypothesis Ho: p = 0.75 versus Ha: p < 0.75. Assume that the rejection region {y ≤ 6} is used. What is 6 (the probability of type II error) when p = 0.5? Note: Please round your answer to four decimal places. O 0.0544 O 0.0416 O 0.3872 O 0.0634
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