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Choosing a Statistical Test to Use

I need to know which statistical test to use.
I want to compare type of malaria contracted (4 categories) vs gender (M or F)so see if there is a) If there are more males than females catching ech of the four different malaria types and b)if there is a higher number of males and a higher number of females catching a particlar type of malaria.

What statistical test can I do to cover these hypotheses. They all come from the same population. Is this an ANOVA- 2 way?