Not only this, but we also have a, shall we say, very loosely formed null hypothesis.
Actually that is a very specific null. If you don't have a research background the concept can be confusing. As mentioned before, using a null hypothesis was a light-hearted attempt to sound learned (failed again. :|:|)
Note the immediate conflation between male professionals, and males without that designation. Furthermore, in order for this to apply to the topic engendering the question (pun intended), the question of intrinsic male ability vs. female ability is being brought to the table.
I had no desire or need to conflate other male divisions. That would be lots more work.
roblee, you noted a 10x disparity in the number of MPO and FPO data points in your set. Given the fact that females are roughly equally represented in the overall population versus males, does this not represent a very large possibility that there exists some confounder that is influencing the conclusion?
Not at all. That's common in many endeavors. It simply says that fewer females choose to join the PDGA as professionals than males. Ask someone else why.
Note, I'm not saying I think the conclusion is wrong. I'm questioning whether the statistical analysis you have done says anything more than "existing male FPO players outscore existing FPO players". And again, we do not need a formal analysis to reach that conclusion.
The only number crunching I did was calculate percentages. That's my pay grade.
You have been asked multiple times, and in several ways, "What is the value of this analysis?" and you have yet to even try to answer that question. You've been asked why this analysis is somehow germane to the topic of trans-women disc golfers, and have also not tried to answer this question.