Question: Assume that we need to plan a study to compare treatment versus control. The response rate for the control group is expected to be 50%.

Assume that we need to plan a study to compare treatment versus control. The response rate for the control group is expected to be 50%. What sample size would we need to have a power of 80% to detect a difference of 20 percentage points(50% vs 70%) with an alpha(2-tailed) set at 0.05? What are the following: Sample size needed for group 1? Sample size needed for Group 2? Incidence group 1? Group 2? Alpha? Beta? Power?

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