9.64 Type II error with two-sided Ha In Example 12 for testing H0: p = 1>3 (astrologers randomly guessing) with n = 116 when actually p = 0.50, suppose we used Ha: p • 1>3.

Then show that:

a. A Type II error occurs if 0.248 6 pn 6 0.419.

b. The probability is 0.00 that pn 6 0.248 and 0.96 that pn 7 0.419.

c. P1Type II error2 = 0.04.