Faith and science need not compete with each other.; they can coexist. In other words, people treat the two as a false dichotomy.
A person's faith should not prevent them from believing in science. Conversely, a person's belief in science should prevent them from having faith.
If one could prove one's faith, it wouldn't be called faith, it would be called science.
There are scientific ideas that we believe to be true, but cannot yet prove. A long standing example was fermats last theorem. People had for a long time felt it was true, but until recent time, they were unable to prove it. A modern day example could be NP vs P. Many scientists suspect that an NP complete problem cannot be solved in polynomial time, but no one has a proof.
The main point is that even in science, there are things that we cannot yet prove. There are some things that we may never be able to prove. We have our beliefs about what we feel is true. Our faith in our belief guides us in our attempt to answer the as yet unanswerable questions. The fact that we may not have an answer to a scientific question,but only beliefs about the answer, does not prevent us from being scientific.