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  • $\begingroup$ +1 for pointing out that failing to reject can lead to accepting the null. In theory we never say that, but in practice, this is exactly what occurs. $\endgroup$ Commented Nov 18, 2015 at 18:24
  • $\begingroup$ One way to reconcile this is in decision theory. You can assign certain costs to errors, then find optimal decisions based on minimization of costs. $\endgroup$ Commented Nov 18, 2015 at 18:52
  • $\begingroup$ "Hence, in practice failing to reject often means implicitly accepting it." is it, though? I am surprised there is also another comment actually supporting this statement - what have we come to? :p $\endgroup$ Commented Jun 3, 2019 at 13:25
  • $\begingroup$ @gented, time to throw out inference testing? $\endgroup$ Commented Jun 3, 2019 at 13:51