For a scientist to design an experiment to find it out, a testable claim about God is required. If those who claim or believe in God can suggest ways to test that, then scientists can design experiments to do so.... If you, as a scientist, really like to see an evidence of God, then design an experiment to find it out. I would certainly be on your side. I like to see that too.
There is typically much special pleading that claims relating to God are, by their nature, untestable; but the general situation is that where testable claims have been made, when tested they have failed to bear out the claims (e.g. the therapeutic effects of intercessory prayer). The problem here is that such tests can't falsify the claim - in the prayer example, lack of significant effect shows only that it didn't work in that particular experiment. Ideally what's needed is strongly testable claims along the lines of, 'if claim x is true, result y is impossible' as well as the weaker, 'if claim x is true, result y is expected'. I'm not holding my breath for either...
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