Question: S Minimax-Tests. Consider a binary standard model .X;FIP0; P1/. A test ' of P0 against P1 is called a minimax test, if the maximum of

S Minimax-Tests. Consider a binary standard model .X;FIP0; P1/. A test ' of P0 against P1 is called a minimax test, if the maximum of the type I and type II error probabilities is minimal. Establish the existence of a Neyman–Pearson test ' with E0.'/ D E1.1'/, and show that it is a minimax test.

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