"Does science make belief in God obsolete?"
there is no rule that says one has to be able to prove something in order to believe it, what you believe in can be separate from what you know
but here's a problem; usually if someone is giving you an idea or thought and expects you to believe it without knowing how valid or invalid his or her statement is, it is most likely that the person wants to use or abuse you by using that belief against you
for instance a girl at your work starts acting like she's into you and wants to have sex with you, next thing you know she hands over some of her tasks so you can take care of them, and you're like; it's cool I'll do it, after all she wants my cock real badly, so when it comes to your turn, she's like "we're just work buddies, I have a bf anyways, and I love him"
when you come to really think of it religion is a scam, so is science to a great degree, everything in our world is so loaded with crap and bullshit, it's hard to distinguish what is valid and what is not. There are many reasons for such happenings, first off humans are the ones who compile this stuff, obviously almost everyone loves attention and fame, so just to get more recognition they tend to stuff their writings and teachings with 99% more crap than what they actually have to say, secondly no matter where humans stand (as a group or individual), they are still stupid entities, and actually believe themselves to be capable of understanding everything, thirdly this whole system is pretty fucked up, everything revolves around the same crap and concepts it did some thousands of years ago, so go and come back some 10 thousand years from now and humans if still existing will be the same fucked up beings they are right now