I am quite concerned that Doctors in the medical field have limited to no understanding of statistics. IMO, stats should be second nature to anyone with 200 level math courses.
Regarding doctors and stats, I share your concern. But I disagree with the statement that stats should be second nature to anyone that's gone through the courses. If I've learned one thing while going deeper and deeper into stats, it's that there's a lot more nuance than I originally understood, and I'm still not there. Just when I think I have a thorough understanding of p-values and the like, I'll read some "I can't believe everyone doesn't understand THIS" blog and see that there was more to the story still again. It's hard to know what you don't know.
0.9% are 100-200 level math problems.
0.1% are beyond that, but at that point, hopefully your 200 level skills have taught you enough to learn about solving that.
In my lifetime, I only had 1, beyond 200 level problem that required research on math to understand. And technically, it was optional, but I volunteered.
Everything else was algebra.