(I wanted to stress that the validity of null hypothesis is really an assumption one has to make here and through a lazy mental shortcut iff appeared suitable as a stronger version of if. Later I realised that it is not only false, but rather “not even false”, given that “probability of A if B” is meant to represent p(A|B) - not sure what “probability of A only if B” would represent. But I was too tired to edit the post.)
Thanks, corrected.
(I wanted to stress that the validity of null hypothesis is really an assumption one has to make here and through a lazy mental shortcut iff appeared suitable as a stronger version of if. Later I realised that it is not only false, but rather “not even false”, given that “probability of A if B” is meant to represent p(A|B) - not sure what “probability of A only if B” would represent. But I was too tired to edit the post.)