Example of a parametric test with no normality assumptions? I read an article saying that "all parametric tests make an assumption of normality", which I know to be incorrect, since technically a parametric test could be done for any distribution, but I couldn't actually find any tests that didn't make an assumption of normality somewhere in them.
Are there any examples of a parametric test that makes no assumptions about normality at all?

PROPORTION TESTING
Testing a proportion implies use of a binomial variable, which is a particular parametric family with a parameter being tested. Consequently, the variable is not normal, yet the test is parametric.
(Be careful, however, as plenty of people think that parametric testing is synonymous with assuming a normal distribution since so many common parametric tests do make such an assumption. If that is how someone (incorrectly, in my opinion) defines a parametric test, then it is a tautology that a parametric test assumes a normal distribution (though, again, I find such a characterization to be a poor one).)
