So you think that people who pray are wrong because coincidence exists?

Jack, you said:

"If you can prove that people are claiming that their prayers are answered are wrong and show how they are wrong that would be nice."

And that's what I did, even allowing for the existence of God. Coincidences are a fact of life, and unless you are claiming that they stop happening when people pray, at least some of those apparently answered prayers are coincidences. I don't see how my opinion is relevant. You asked for proof, and you got it.

Well I think the question is "If it works, if it requires faith, if it is a benefit that people have enjoyed for thousands of year, if it is a net mental health benefit, how can it be a delusion?"

If it really is a mental health benefit, it doesn't really matter. To me though, it seems to be the placebo effect.