Haha I'm a Clinical Pharmacist, just finished Pharmacy School and doing my residency now. Sounds like you have a pretty good understanding of the medical field coming from such a medically inclined family background.
There is a lot of misunderstanding in the medical field about statistical analysis. I had to take so many stat classes just because of this now and unfortunately a lot has to do with the pharmaceutical companies botching medical trials just to make their drugs "look" good or scientist getting paid to bias some "scientific article results." However, these issues are also impacted by other concerns such as ethics and not wanting to expose people to unjust risk if its not deemed "necessary."So I think at the end of the day, the problem is multifactorial in nature.
Thanks for the thoughtful comment back though :)