I am currently analysing data of a big webshop with over 31,000 vendors selling goods, i.e. each vendor is selling items over the webshop.
The cool thing is that we know the gender of these vendors (=individuals) and the categories of their products. Now, we want to see if there are categorical gender differences, i.e. we would like to test, if males sell more/less items than females of a certain category and if these differences are significant. Here is a graph of the data: The question I have now is which statistical test is appropriate for this kind of analysis?
So far I was using a chi-squared test to see if the distributions over all categories are significantly different between males and females. Now I would like to know: which statistical test is valid to use to show me for instance that the two distributions between males, females of the category "Apparel" is also significant?