People tend to seek evidence that supports their existing beliefs. This is called:

a mental set

confirmation bias

framing effect

functional fixedness

The correct answer is confirmation bias.

Confirmation bias is a term we use to refer to the fact than an individual may analyze something, for example, particular proof, according to what they believe in. For example, I might think that a particular thing is true, so I will interpret evidence around me in order to confirm that my belief is correct, regardless of whether it actually is.