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Please help. Thank you. Suppose you wish to perform a test with normally distrib

ID: 3134139 • Letter: P

Question

Please help. Thank you.

Suppose you wish to perform a test with normally distributed data and you choose the probability of Type I error to be 0.00. What is the probability of Type II error? Give a verbal and mathematical proof. [ For mathematical proof, use the P(Type II error) calculated and that z_a = z_0.00 = infinity] Suppose you are performing a statistical test to decide whether a nuclear reactor should be approved for use. Let the null hypothesis be phrased in such a way that, if the null is "not rejected", the reactor will be approved for use. What property would you want the probability of Type II error to have? Explain your reasoning.

Explanation / Answer

a)

well as you can see type I error is 0.00 so the type II error will be 1 - 0.00 = 1

b)

type II error to have :

the reactor will be approved for use , even this is not usuful