I'm having trouble with what may be a fairly basic statistics question.
I have a new intervention and want to know if the intervention is at least
as good as the standard treatment. I want to be certain that the
intervention is not poorer than the standard treatment. So...
Ho: M1 < M2
Ha: M1>= M2
If I want to be 95% certain that I can reject Ho, do I need to do anything
different in terms of calculating sample size and means testing than under
the normal Ho: M1 = M2? Do the probability distributions under these
conditions differ from those when I assume Ho: M1 = M2?