Question: 7. Ues R commands and the information given in Exercise 5 in Section 8.3, that is, n = 500, H0 : p = 0.05 vs

7. Ues R commands and the information given in Exercise 5 in Section 8.3, that is, n = 500, H0 : p = 0.05 vs Ha : p < 0.05, and α = 0.01, to complete the following.

(a) Find the probability of type II error at pa = 0.04.

(b) What sample size should be used to achieve power of 0.5 at pa = 0.04 while keeping the level of significance at 0.01?

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