This, too, conflates trust with faith. They are different. Trust is earned by repeatedly showing correctness. That is roughly what science does. Faith is essentially trust without verification, especially religious faith.
Many things in science are verifiable by anyone. Not *all* science is easily verifiable. That's where trust in professional scientists come in. People are correctly suspicious of some scientists while correctly maintaining trust in the entire process. The process keeps proving itself by delivering new medicines, new technologies, and repeatable results.
"I've seen the forgeries I've sent out." -- John F. Haugh II (jfh@rpp386.Dallas.TX.US), about forging net news articles