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Advanced Placement (AP), 19.11.2020 22:50 Tirone

A one sided hypothesis is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If the significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true? A) Neither the probability of a Type II error nor the power of the test would change.
B) Both the probability of a Type II error and the power of the test would decrease.
C) Both the probability of a Type II error and the power of the test would increase.
D) The probability of a Type II error would decrease and the power of the test would increase.
E) The probability of a Type II error would increase and the power of the test would decrease.

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