So what do you suggest? Should scientists take a look at random events and ascribe them to supernatural powers, since it cannot be tested and shown otherwise?
You ask the most important question that mankind has to ask.
Let us take a court case as an example:
There was a bank robbery. The bank robber used a nondescript loose fitting grey sweatsuit, a black gym bag and a grey knitted ski mask. However, his car was seen to be a blue pick-up truck. There are many blue pick-up trucks in Los Angeles, but this pick-up truck has a dented right front fender. There are fewer blue pick-up trucks in L.A. with dented right front fenders, but there are probably still to many to convict.
This blue pick-up truck also had a bondo patch on the rear left part of the truck bed. Fewer pick-ups in L.A. have a dented right front fender and rear left bondo patches, but there may be too many to convict. This pick-up had a black bedliner as well. Now we are narrowing the circumstantial evidence to fewer potential culprits. This pick-up truck was found with a black gym bag having a grey ski mask and the money from the bank inside, laying on the front seat of the pick-up truck.
There has been 2000 years of an unchanging document that has not contradicted historical claims, as well as modern scientific claims. When science got things wrong, it contradicted or misrepresented the Scriptures (Flat Earth, Galilean solar system...). The brightest Western minds, including a majority of our Founding Fathers had personal experience with the Creator represented in the Bible.
The character of those who by faith place their trust and have real fellowship with Jesus Christ are transformed supernaturally. The evidence to who our Creator is has stronger weight than the owner of the blue pick-up above. The difference being that Jesus Christ admitted to have Created the universe.
Unprovable from a scientific standpoint, however demonstrably true when we consider the totality of our reality.