Suppose that the rejection region of a test ψ has the form R={Xn:Xn>c} . Find the smallest c such that ψ has level α .

(If applicable, type abs(x) for |x| , Phi(x) for Φ(x)=P(Z≤x) where Z∼N(0,1) , and q(alpha) for qα , the 1−α quantile of a standard normal variable.)

c≥?

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Suppose that the test ψ has level α=0.05 . What is the power of ψ ?

(If applicable, type abs(x) for |x| , Phi(x) for Φ(x)=P(Z≤x) where Z∼N(0,1) , and q(alpha) for qα , the 1−α quantile of a standard normal variable, e.g. enter q(0.01) for q0.01 .)

Power of ψ=?
Answer?