I'll tell you something...I teach undergraduate statistics. One of the projects I give students is to find a news article that talks about a research study and then find the research study. They have to analyze and compare them.
It's a hard project, students largely presume that news sources have bias, and some clearly do. But telling apart bias from good faith misunderstanding and sincere attempts at simplification of a message for an audience is really hard.
The issue isn't just 'statistics' its audience, its communication, its argumentation, its pre-existing knowledge...its a lot of factors.
Part of this is human nature and, frankly, our evolutionary brains inability to process the amount of information now available.
There is some good research...I'll find it and add it...with undergraduates that shows something really itneresting about information seeking and use behaviors:
* undergraduate engineering students often treat the act of searching for information on ther internet and getting results as directly akin to understanding the information their search returned.
* said differently, they think that the act of googling something is the same as understanding the results - even if they don't click on the results.