Question: From Section 2.5.7, if T is acontinuousrandomvariablewith cdf F, then F(T) has theuniform distribution over[0,1]. (a) Insignificancetestingwithateststatistic T, explainwhy F(T) and 1F(T) correspond to one-sided

From Section 2.5.7, if T is acontinuousrandomvariablewith cdf F, then F(T) has theuniform distribution over[0,1].

(a) Insignificancetestingwithateststatistic T, explainwhy F(T) and 1−F(T) correspond to one-sided P-values.Explainwhy 1 − F(T) also hasauniformdistributionunder H0.

(Uniformityalsoholdsfortwo-sided P-valuesunder H0.)

(b) Suppose H0: π =

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