Contrary to what you might think, providing evidence just isn't the right way to be more persuasive.
People tend make decisions emotionally and only then evaluate the evidence. Once they've made a decision, people tend to either disbelieve contrary evidence or mentally manipulate the evidence so that it supports their decision.
In other words, when people are wrong about something, the more evidence you present that they're are wrong, the less likely they are to change their minds.
1. Agree with them.
2. Reframe the problem.
3. Introduce a new solution.