For each of the following statements, state whether the statement is true or fal

Question

For each of the following statements, state whether the statement is true or false, and justify your answer: (a) The significance level of a hypothesis test is equal to the probability that the null hypothesis is true. (b) If the significance level of a hypothesis test is decreased, the power would be expected to increase. (c) If a null hypothesis is rejected at the significance level of alpha, the probability that the null hypothesis is true equals alpha. (d) A type I error occurs when the test statistic falls in the rejection region of the test.

Explanation / Answer

a) false ; it is probabilty of rejecting null when it is true

b) false as significancee level decrease, type 2 error probability increase and hence power decrease

c)false ; it is equal to p value

d)true, as type I errror is rejecting null when it is true

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