Perform a simulation study, and generate 100 participants from a binomial distribution with p = .2 and
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Perform a simulation study, and generate 100 participants from a binomial distribution with p = .2 and 100 participants from a binomial distribution with p = .1. Test to determine whether the observed sample proportion of successes are significantly different, using a two-sided test with α = .05?
Simulation
Suppose we are planning a clinical trial and expect a 20% success rate in the active group and a 10% success rate in the placebo group. We expect to enroll 100 participants in each group and are interested in the power of the study.
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