Suppose that X - Binomial (100, p). Consider the hypothesis test Ho : p = 0.5 versus HA: p0. Define the statistic T(X) = X and the rejection region by RR={r : |r-50| > 10}. Using the Norm %3D approximation to the Binomial distribution:

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Suppose that X ~ Binomial (100, p). Consider the hypothesis test Họ : p = 0.5 versus HẠ : p + 0.5.
Define the statistic T(X) = X and the rejection region by RR={r : |r– 50| > 10}. Using the Normal
approximation to the Binomial distribution:
(a) What is a?
(b) Graph the power as a function of p.
Transcribed Image Text:Suppose that X ~ Binomial (100, p). Consider the hypothesis test Họ : p = 0.5 versus HẠ : p + 0.5. Define the statistic T(X) = X and the rejection region by RR={r : |r– 50| > 10}. Using the Normal approximation to the Binomial distribution: (a) What is a? (b) Graph the power as a function of p.
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