In Example 13 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 < p̂ < 0.419.
b. The probability is 0.00 that p̂ < 0.248 and 0.96 that p̂ 7 0.419.
c. P(Type II error) = 0.04.