Testing a Hypothesis about the Supernatural

[bennyboy]

I'm curious if QM statistical outcomes can be called supernatural. If you cannot establish a specific mechanism for outcome, then on what basis will a particle be in position x rather than position y? Will we just call the unknowable "brute fact, but clearly physical," or will we accept the possibility that at the most fundamental level, there is a tremendous agnostic hole?

What, exactly, is the conceptual basis for separating natural from supernatural?