That doesn&#x27;t have anything to do with my point above, which is that the alternative hypothesis &quot;people with some property X are better at game Y, and separately, people with property X are more likely to cheat&quot; is not ruled out by experiment 1 as described.<p>Edit: you could also differentiate between &quot;winning-&gt;cheating&quot; and the confounder possibility by having the cheatable game first.