If there is a population that we consider fixed (finite) with size N - say the customers at a bank at the end of a given month - and we want to conduct an experiment on this population by randomly sampling m for treatment 1 and k for treatment2 (where m+k <=N), how can you test the difference in proportions between the two treatments?
1) Traditional tests for two proportions (e.g. z test, chi square) all assume infinite populations in their calculation of p-values correct?
Couple of thoughts - do any of these work in the case described?
- Fishers Exact test?
- Permutation tests?