A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a 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 The probability of a Type II error would decrease and the power of the test would increase. c Both the probability of a Type II error and the power of the test would decrease. d The probability of a Type II error would increase and the power of the test would decrease. e Both the probability of a Type II error and the power of the test would increase.
A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a 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 The probability of a Type II error would decrease and the power of the test would increase. c Both the probability of a Type II error and the power of the test would decrease. d The probability of a Type II error would increase and the power of the test would decrease. e Both the probability of a Type II error and the power of the test would increase.
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Question
A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true?
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a
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Neither the
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b
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The probability of a Type II error would decrease and the power of the test would increase.
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c
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Both the probability of a Type II error and the power of the test would decrease.
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d
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The probability of a Type II error would increase and the power of the test would decrease.
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e
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Both the probability of a Type II error and the power of the test would increase.
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