You have a categorical independen variable and a categorical dependent variable (male/female choice).
Maybe using some of these sources could be useful for you. I suppose that cross-tabulation with Chi² test
can be applied here.
The global test for theh 4 (groups) * 2 (outcome categories: male/female) table
will tell you whether the behavior differs across groups.
If you have more specific hypotheses in mind, then you will have to perform additional
tests, maybe pairwise tests for 2 (groups of interest) *2 (outcome categories) subtables.