In this instance, Fisher (1922) kindly provided the right answer to the question. If so, statisticians have a kind of moral obligation to provide scientists with better tests.
What should you do if your cell counts are too small, but you’d still like to test the null hypothesis that the two variables are independent? One answer would be “collect more data”, but that’s far too glib: there are a lot of situations in which it would be either infeasible or unethical do that.
