There's a weird bar for confidence, to be frank. Most often I've found that people disregard studies with people who have "golden ears" because they're not average ears, or that studies find that only those with "golden ears" can find a difference, and the audience tends to feel they're in that range.
For example, there was a study a few years ago at McGill with trained listeners on the effects of bitrate with mp3 and m4a audio encoding that found that only a slim number of mastering engineers preferred lossless over lossy encoded audio (interestingly enough, some professional mixers and musicians found lossy encodings preferable to lossless even for jazz and classical music). But trying to convince audiophiles that those codecs are comparable to lossless is a losing battle.