That’s a huge exaggeration, I’ll admit, but a new poll shows that 52% still have a “positive impression of him.,” yet other polls indicate large majorities don’t believe some of his statements. 

How to explain this?

First of all, these are different polls, so it’s some different people responding, obviously. Secondly, there’s an issue of bias on the part of pollsters, which undoubtedly plays a role. The story sums it up by saying “People like Obama, but they don’t believe him.”

And that is how charisma works.