Believing certain propositions (God exists, Jesus was resurrected, etc) on faith is what every good Christian at a minimum is required to do.
How can we define "faith" in the context of religion?
There are two meanings of faith:
"complete trust or confidence in someone or something."
Example: "this restores one's faith in politicians"
strong belief in the doctrines of a religion, based on spiritual conviction rather than proof.
Example: "bereaved people who have shown supreme faith"
The second definition applies to religious faith. Religious faith is "based on spiritual conviction rather than proof." *note that "proof" is a synonym for "evidence"
The American Heritage Dictionary of the English Language gives the following definition of faith:
"Belief that does not rest on logical proof or material evidence."
This definition is consistent with "strong belief in the doctrines of a religion, based on spiritual conviction rather than proof."
But what if someone wanted evidence for his or her religious beliefs? What would 'not' constitute good evidence?
If one wishes to establish the truth of a claim, e.g. "God exists," one must provide evidence of an objectively verifiable nature. This cannot be personal revelation because by definition no one can know another person's subjective experience of god. Someone can describe their experience of god to me, but that person's description is not sufficient for me to know whether what they purport to have experienced is actually real. A believer can tell me that he sees god standing before him or that he hears god's voice, but unless I can see or hear it, I cannot rule out the possibility that he is hallucinating.
And good evidence for god or miracles cannot be written accounts either because I cannot see what the writer purports to have seen.
Recall that when talking about the supernatural (God(s) and miracles), we are talking about extraordinary claims. Extraordinary claims require extraordinary evidence. The existence of a supernatural being and suspension of the natural order, in the case of miracles, would be extraordinary if true. The standard of evidence must be quite high. It must be unequivocal. It cannot be, for example, Francis Collins' frozen waterfall.