# Question

With reference to Exercise 12.3, suppose that we had wanted to test the null hypothesis k ≤ 2 against the alternative hypothesis k > 2. Find the probabilities of

(a) Type I errors for k = 0, 1, and 2;

(b) Type II errors for k = 4, 5, 6, and 7.

Also plot the graph of the corresponding power function.

(a) Type I errors for k = 0, 1, and 2;

(b) Type II errors for k = 4, 5, 6, and 7.

Also plot the graph of the corresponding power function.

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