500
Freestyle question!
Please explain the following text in the context of the otitis media/antibiotics study.
Taken from the statistical analysis section:
We estimated that with 260 patients, the study would have 90% power to detect an absolute reduction of 15 percentage points in the rate of treatment failure in the amoxicillin-clavulanate group as compared with the placebo group, assuming a 25% rate of treatment failure in the placebo group, with a type I error of .05
With a total control + experimental N of 260, the experimenters would be able to correctly reject the null (saying that there is a significant, over 15% difference in rate of treatment failure in favor of patients given the antibiotics when the difference actually exists) 90% of the time, assuming that there is a 25% rate of failure with the placebo group, with a 5% chance of type I error in rejecting the null (saying that there is a significant difference in outcome between treatment and placebo groups) when there is none in actuality.