Question: A randomized controlled trial comparing two drugs for treating insomnia is said to have 85% power to detect a 20% relative reduction (RR=0.80) in

A randomized controlled trial comparing two drugs for treating insomnia is said

A randomized controlled trial comparing two drugs for treating insomnia is said to have 85% power to detect a 20% relative reduction (RR=0.80) in sleep problems nine months following treatment at the 5% significance level. A. What is the probability that the trial would fail to detect a true risk ratio of 0.80 and how was this calculated? B. How could the probability of failing to detect a true risk ratio of 0.80 be reduced? C. f you wanted to conduct a power-based sample size calculation, what additional information is needed which is not stated above? D. Comment on how power and significance level affect your choice of sample size for designing this randomized controlled trial?

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