Suppose a hospital wants to evaluate the effectiveness of a new treatment for a certain disease. They randomly assign 200 patients to receive the new treatment and another 200 patients to receive the standard treatment. If the response rate for the new treatment is 60% and for the standard treatment is 40%, what is the probability that the difference in response rates between the two treatments is statistically significant at a significance level of 0.05?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose a hospital wants to evaluate the effectiveness of a new treatment for a certain disease. They randomly assign 200 patients to receive the new treatment and another 200 patients to receive the standard treatment. If the response rate for the new treatment is 60% and for the standard treatment is 40%, what is the probability that the difference in response rates between the two treatments is statistically significant at a significance level of 0.05?
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