You can do better than that. The rain dance story is about making false correlations (except the dancing guy admits it hasn't worked yet).
Blind tests of two different brands of aspirin could have confusing results because both are essentially the same. But if aspirin was tested blind against a placebo, among people with a fever, the results would show a clear difference. It depends on how you design the test.
I realize I won't convince you about this
. I feel a little like the guy who asked the rain dancer why he does it.