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 B (the probability of type II error) when p = 0.5? Note: Please round your answer to four decimal places. O 0.0544 0.0416 0.0634 0.3872

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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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 3 (the probability of type II error) when p = 0.5?
Note: Please round your answer to four decimal places.
0.0544
O 0.0416
0.0634
O 0.3872
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 3 (the probability of type II error) when p = 0.5? Note: Please round your answer to four decimal places. 0.0544 O 0.0416 0.0634 O 0.3872
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