The study of probabilities is useful (and really cool,) but there's one problem; we allow uneducated people to read. Worse (and more harmfully) we actually allow them to own televisions; in this way an effective assault of meaningless numbers can be expertly aimed at uninformed bystanders.
Not that being ignorant of advanced statistics makes someone stupid. In this situation it's more like collateral damage: people buried under the numerological fallout from incendiary discussions; initiated in all likelihood by more "experts." (I'm not sure how many undergraduates you need to have bludgeoned into submission to qualify as an "expert.")
Leaving the actual manipulation and misrepresentation of data alone, there is still a bias towards agreement with previous results. It's difficult to adjust to new information.
There are people who just go along with the (possibly skewed) facts that they learned in college 10, 20 or 30+ years ago (I know and love people like this.)
Or possibly it's because even statisticians do not understand their own work.
So the same people who have (or have not) been educated (correctly or incorrectly,) are also allowed to vote; about subjects they may not know about, with a didactic method that is terribly confusing if you happen to have picked up your only smatterings on Rush Limbaugh, The Colbert Report, and NBC news. Actually some professors are just as confusing. I take it all back, Rush.
I'm pretty sure the only solution is to create a dictatorial intelligentsia, headed by the disembodied spirit of John Stuart Mill.