Refer to the vegetarianism example in Section 1.4.3. For testing H 0 : = 0.5 against H 0 : 0.5, show that:

Refer to the vegetarianism example in Section 1.4.3. For testing H₀: π = 0.5 against H₀: π ≠ 0.5, show that:

a. The likelihood-ratio statistic equals 2[25log(25/12.5)] = 34.7.

b. The chi-squared form of the score statistic equals 25.0.

c. The Wald z or chi-squared statistic is infinite.