As in every number in that set is a subset of the larger set of x < y < z. Poor language choice it's not true, yes I was wrong. I am just curious as to how much laziness and not necessarily confirmation bias has to do with the result. If getting it wrong had some kind of penalty or getting it right had some kind of reward ( money etc. ..), how much better would people do then?

Yes, it seems most people's rules actually were subsets of the true rule.

Laziness is involved to a certain degree. Though I don't know how much---no one is forcing anyone to do the puzzle, so the truly lazy filter out, too.