One of the big reasons people don't believe in God (or at least an excuse that is popular) is that they think science doesn't support it. That science somehow disproves God. First off, that whole notion doesn't make sense. If God exists, He exists outside of science. There is no test to prove or disprove that, and there never will be one. The only true test is to ask God to show Himself to you.
Now, there are certainly several key sciences where people consider there to be a sort of round-about evidence for or against God. Things that give people pause in reconciling their beliefs and this fact of science. I enjoy encountering these things that seem to make no sense, as they make me re-evaluate things. It helps me get closer to the truth, and get deeper into my faith.
Here's my current view on these sciences and how things may not be what they seem. Some details may not be quite right, but overall I think I'm on the right track.
Biology: We'll jump right into the big one: evolution. There's a lot of back and forth on fossil records and is micro-evolution ever a net positive instead of just a tradeoff and whatnot. I simply can't follow all of that, there seems to be evidence both ways, and I'm not a good enough biologist to evaluate it myself. So I'd like to go deeper. Back further. Where did it all start anyway? How did life get here to begin with? How did a simple cell form?
Turns out, life in a cell is not so simple after all. As we got better microscopes and got better at looking at these things, the more complex it got. First we discovered it's more like a factory, with parts doing their own specialized thing and various chemicals flowing though the different areas. Then we said wait, no, even that is too simple, it really works more like a miniature city!
Any way you want to look at it, life is far too complicated to have arisen on its own by random chance. DNA, Proteins, what are the odds of these forming by random chance, even given that you have the perfect "primordial soup"? Far, far beyond what statisticians call impossible.
If you have infinite time, maybe, sure. But we don't have infinite time. We only have 2 billion years or so.
Physics/Astronomy: There seems to be a beauty in these things. Some things just happen to work out just so. We are in a unique place in the universe, able to see just after the big bang and also way far out, to the edge of the universe. Most other places have too many other stars or particles around to be able to see things clearly.
Additionally, the whole anthropic principle seems to turn up everywhere - take any one of a number of forces and change it by just a fraction of a percent, and the whole thing would collapse and not work at all. Many people just dismiss the whole thing and say well of course it works out, if it didn't we wouldn't be here to observe it. To me that seems like dodging the question. If there's that much coincidence that there's an actual named principle behind it, then that's enough evidence for me.
And the whole multiverse (an infinite number of alternate universes or dimensions or what have you) - that seems like at least as big of a stretch as God is just to answer the anthropic principle. It's also something that we can't ever test and as such is also firmly outside the realm of science.
In conclusion: The evidence from hard sciences seems very clear to me. Life here currently is beyond the impossible to have formed randomly by chance. That leaves only that it was created.
Historical/Archeological evidence for Jesus and the Bible does not disappoint either.
Most of all though, are the numerous specific prayers that have been answered, and the way I see God moving throughout my life. That is why I believe. All the evidence I can see points directly to the Christian worldview being correct.