Let's work through that slowly:
By its nature, science is a naturalistic pursuit. It's concerned with how events are correlated in this tangible perceptible world that we inhabit. The existence or non-existence of some hypothetical "god" would seem to be a transcendental matter. So how is "science" even relevant to the divine existence question?.
Incorrect, but it's a common mistake. Science is concerned with anything that has a measurable observable objective effect. It's only naturalistic so far because that's all we can confirm. But, religion has yet to agree that a personal God has no effect on Earthly events, so that does make it within the realm of scientific study.