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Suppose for the hypothesis testing problem of Exercise 8.2.1, a statistician decides to generate…

Suppose for the hypothesis testing problem of Exercise 8.2.1, a statistician decides to generate U ≤ Uniform[01] and reject H0 whenever U ~ 005. Show that this test has size 0.05. Explain why this is not a good choice of test and why the test derived in Exercise 8.2.1 is better. Provide numerical evidence for this.

Exercise 8.2.1 Suppose that a statistical model is given by the two distributions in the following table.

Suppose for the hypothesis testing problem of Exercise 8.2.1, a statistician decides to generate...

Determine the UMP size 0.10 test for testing Suppose for the hypothesis testing problem of Exercise 8.2.1, a statistician decides to generate... the power of this test? Repeat this with the size equal to 0.05