I’ll reply anyway, even though my answer will boil down to “faith.” It’s sort of like the Babelfish in The Hitchhiker’s Guide - because it proved the existence of God, it eliminated him altogether.
If you’re serious about this issue, I would recommend “Religiion and Science” by Ian G. Barbour. It’s an excellent, but very dense, book aptly subtitled “Historical and Contemporary Issues.” He puts forth four ways of relating science and religion: Conflict, Independence, Dialogue, and Integration, and looks at the historical relationships between (largely Christian) religion and (largely Western) science.
He draws some very interesting analogies between science and religion, pointing out that, for most of us, we tend to take it on faith that science works. Very few of us have actually done any of the experiments upon which the basics of science rest, but we certainly believe them. One can definitely make the argument that most of our daily activities prove the correctness of science, because of our continuing interactions with the fruits of scientific advances. On the other hand, people who believe in God say that their daily lives are made better because they behave according to their religious beliefs, which is proof to them of God’s goodness.
Consider the situation where we, the teeming masses, were not told about the advances of science, but were only presented with the useful gadgets we have about us by a group of mysterious priests who exclaimed that these tools and toys were the result of revelations (to them, the priests) from a caring and loving God. Would we then all be religious believers?
Barbour makes the point that the faith community and the scientific community have many similarities. For instance, there are the religious mystics who tell of reaching elevated spiritual enlightenment and the scientists who create new theories, essentially ouy of nothing. One of the more fascinating topics to read about (at least to me ) is how scientific theories, particularly major breakthroughs, are “discovered.” They are often described as flashes of insight rather than small incremental steps based entirely upon experimentation. Barbour argues that this is similar to the religious person who spends years in prayer and meditation, only to have a sudden revelation of religious truth.
I don’t happen to believe that this is an “either/or” question. Faith plays a role in both areas, as does experience. Religions are not well suited to develop scientific theories, and science is not well suited to answer questions of why the universe exists. Science can inform religion, and religion can inform science.