An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? Suppose that instead of accruing an equal number of patients on each treatment arm, you allocate 1.5 patients to the new treatment for every patient on standard treatment. What sample size is required on each arm to guarantee 85% power with a level 0.05? How does the sample size computed here compare with the total required sample size in (b)?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? Suppose that instead of accruing an equal number of patients on each treatment arm, you allocate 1.5 patients to the new treatment for every patient on standard treatment. What sample size is required on each arm to guarantee 85% power with a level 0.05? How does the sample size computed here compare with the total required sample size in (b)?
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