Probably this is an easy question, but I don’t seem to find an answer.
The standard mortality ratio (SMR) is defined as “the ratio of actual number of deaths in the group under study to the expected number of deaths based on the standard population rates that were applied to the study group”.
SMR = Observed death/Expected Death
Let’s say that I have SMR-1 and SMR-2 be two independent standard mortality ratios. I’m interested to construct hypothesis to test the difference between them. That’s
H0: SMR-1 = SMR-2 vs. H0: SMR-1 != SMR-2