a) An experimenter has prepared a drug dosage level that she claims will induce sleep for at least 80% of people from insomnia. After exam- ining 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 twenty insomniacs, and observe Y, the number for which the drug dosage induces sleep. We wish to test the hypothesis Ho : p = 0.8 versus the alternative Hị : p < 0.8. Assume that the rejection RR = {y < 12} is used. i) In terms of this problem, what is the type I error? ii) Compute a. iii) In terms of this problem, what is the type II error? iv) Compute B when p = 0.6. [Use table of binomial probabilities]

a) An experimenter has prepared a drug dosage level that she claims will induce sleep for at least 80% of people from insomnia. After exam- ining 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 twenty insomniacs, and observe Y, the number for which the drug dosage induces sleep. We wish to test the hypothesis Ho : p = 0.8 versus the alternative Hị : p < 0.8. Assume that the rejection RR = {y < 12} is used. i) In terms of this problem, what is the type I error? ii) Compute a. iii) In terms of this problem, what is the type II error? iv) Compute B when p = 0.6. [Use table of binomial probabilities]

Name: a) An experimenter has prepared a drug dosage level that she claims w
Uploaded: 2024-03-20T07:07:00.000Z
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Description: a) An experimenter has prepared a drug dosage level that she claims willinduce sleep for at least 80% of people from insomnia. After exam-ining the dosage, we feel that her claims regarding the effectivenessof the dosage are inflated. In an attempt