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Let X have a Bin(30, ) distribution. To test the null hypothesis H0 : = 1/2 versus H1 : > 1/2, the test = c1[X

Let X have a Bin(30, ) distribution. To test the null hypothesis H0 : = 1/2 versus H1 : > 1/2, the test = c1[X = k] + 1[X > k] will be used. Choose c and k such that this test has size 0.05.

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