# Test for proportions - which one to choose?

I have a general question regarding proportions. Let's say, for simplification of things, that I have 2 groups of subjects (treatment and control), and for each subject I measure success or failure (0 or 1). I wish to check if there is a significant difference between the groups. Assuming for now that there are no covariates, nor random effects, how do I choose the appropriate test ? I have a test for proportion difference (with the Z statistic for large sample sizes), I have other tests for proportion difference (I guess, like there are many CI's). On the other hand, I can use contingency tables, Chi Square Test, or Fisher Exact Test. A third option, the odds ratio and the relative risk...How does one chooses the appropriate test, or approach, how do I know if to go for proportion difference, or Fisher Exact Test, or odds ratios ?