Question: A statistic T has discrete distribution with cdf F(t). Show that F(T) is stochastically larger than uniform over [0, 1]; that is, its cdf is

A statistic T has discrete distribution with cdf F(t). Show that F(T) is stochastically larger than uniform over [0, 1]; that is, its cdf is every-where no greater than that of the uniform . Explain why an implication is that a P-value based on T has null distribution that is stochastically larger than uniform.

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