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Suppose that a level test , based on the T test statistic, rejects the null hypothesis when T> t0. Let g be an increasing monotonic function (g...

Suppose that a level test α, based on the T test statistic, rejects the null hypothesis when T> t0. Let g be an increasing monotonic function (g (x)> g (y) if x> y) and let S = g (T). Is a test that rejects the null hypothesis when S> g (t0) is an α level test?

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