> Not actually true! A common misconception. Absence of evidence when you'd expect to find it is actually extremely suggestive that a hypothesis is incorrect. It's key to the criterion of falsifiability.
Ok, you got me. If you expect to find something and don't, it means your expectations were wrong, the experiment was bad, whatever. It proves nothing about the thing for which you have no evidence.
The coin example should clarify your apparent misreading of "If someone believes something without evidence, and you do not believe it because of the lack of evidence, then you are both guilty of the same thing."
Rephrasing: the statement "not believe it" means to "believe it to be false." It's a colloquialism. Both stances are choosing to believe something without evidence.