We know with certainty - since you tell us - that you have that feeling. People have strong feelings about lot of things. People disagree about things of the most intense importance to them, such as the existence of god. I won't list any more examples to avoid arguing about them.
But since people have mutually exclusive very strong intuitions/knowledge/feelings, it seems very clear to me that the presence of the feeling entails absolutely nothing about the further reality of the thing being believed.
A simple and complete explanation is that you have this feeling, and the feeling is all there is to it. Maybe the feeling has some functionality in a social ape. The feeling entails nothing.
Susan Greenfield has a nice expression of a similar idea: the only known functionality of consciousness is that when you ask yourself 'am I conscious?' the answer seems to come back 'yes'.
[edit: typos]