Nothing you would accept.
Depends on what you mean. I accept that you think certain things, and that you have the right to think what you want. I would probably not be convinced by them though, no.
I obviously can not prove to you a supernatural occurrence or anything supernatural for that matter. And the natural world obviously isn't considered proof either.
I didn't get that part about the natural world?
Would my answered prayer be proof to you?
No. But I did not ask you to convince me. I asked what the things are that you consider evidence to you, what your reasons to believe are?
I would think only your own answered prayer would be proof to you.
Probably not. If prayers got "answered" if I saw angels, or heard god's voice etc. That would not be proof of god to me. It would be proof of that something is going on in my brain, such as hallucinations. I would first try to find out if I have become ill. My first conclusion would not be 'god'.
By the way I'm not saying I can prove to you God exists. I'm just pointing out that I have my beliefs for the exact same reasons you have yours.
How can we know if we have the same reasons, since you won't relate yours. I don't think there is a god because all what science says contradicts supernatural beings such as a god. Science knows enough about, and have explained enough about how our world functions, and how our minds works for god to be highly unlikely and totally unnecessary.
I can't ever live your entire life, go through the exact same things you have, learn the exact same things in the exact same way as you. And even if I did I might come to a different conclusion.
Or you might not. No atheist lives exactly the same lives, or have the exact same background as another atheist, either.