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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]

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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 2 Y, the number for which the drug dosage induces sleep. We wish to test the hypothesis Ho : p = 0.8 versus the alternative H1 : 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 ß when p = 0.6. [Use table of binomial probabilities] b) A random sample of size 16 is drawn from a normal population having
Transcribed Image Text: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 2 Y, the number for which the drug dosage induces sleep. We wish to test the hypothesis Ho : p = 0.8 versus the alternative H1 : 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 ß when p = 0.6. [Use table of binomial probabilities] b) A random sample of size 16 is drawn from a normal population having
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