1.28 For a statistic T with cdf F(t) and p(t) = P(T = t), the mid distribution func-

tion is Fmid(t) = F(t) - 0.50p(t) (Parzen 1997). Given T = to, show that the mid P-value equals 1 - F(to). (It also satisfies E[Fmid(T)] = 0.50 and var [Fmid(T)] =

(1/12){1 - E[p²(T)]}.)