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Type III Error and Type IV Error in Statistical Tests

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Testing the Support of a Uniform Variable: Type 1 Error of a Test0/1 point (graded)Let X1, …, Xn iid∼Unif[0, θ] for an unknown parameter θ, and consider the statistical test= 1( max1 ≤ i ≤ n Xi > 1/2 )to decide between the null and alternative hypothesesH0: θ≤ 1/2H1: θ > 1/2.Compute the power function β(θ) for all θ∈Θ0.β(θ) =SubmitYou have used 2 of 3 attemptsTesting the Support of a Uniform Variable: Type 2 Error of a Test0/3 points (graded)This question uses the same setup as the previous one.

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Type I and II errors and significance level — Krista King Math | Online math help

Type I & Type II Errors | Definition & Examples