What is interesting is that there are different levels of evidence considered acceptable in different areas of life. If you don't have a clean chain of evidence, even DNA isn't admissible in a court of law.
OTOH, mistaken eyewitness identifications are fallible too.
The scientific method cannot eliminate errors, but it does give a systematic way to minimize certain errors and provide confidence in the results obtained, within limits -- and different disciplines rely on the scientific method more or less stringently.
Cheers!
And religious belief relies on it not at all.