One study I found is where they let people (their control group) check some data about effectiveness of a certain shampoo. They all found the correct answer. Then they let people do the exercise with the exact same data but said it was about gun control. Suddenly a part of the participants failed at basic math and had a lot of rationalizations.

Some folks will not just accept any fact or data that goes against a belief held by their peer group. Giving facts will even be seen as a personal attack.