# Question: For testing H0 p 1 3 astrologers randomly

For testing H0: p = 1 / 3 (astrologers randomly guessing) against Ha: p > 1 / 3 with n = 116, Example 13 showed that P(Type II error) = 0.02 when p = 0.50. Now suppose that p = 0.35. Recall that P(Type I error) = 0.05.

a. Show that P(Type II error) = 0.89.

b. Explain intuitively why P(Type II error) is large when the parameter value is close to the value in H0 and decreases as it moves farther from that value.

a. Show that P(Type II error) = 0.89.

b. Explain intuitively why P(Type II error) is large when the parameter value is close to the value in H0 and decreases as it moves farther from that value.

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