Select the best answer. A researcher plans to conduct a significance test at the

α=0.01

significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computed the power is (a) 0.01. (b) 0.10. (c) 0.89. (d) 0.90. (e) 0.99.

Question

Mathematics

Phoenix Clark

5 March, 16:16

Select the best answer. A researcher plans to conduct a significance test at the

α=0.01

significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computed the power is (a) 0.01. (b) 0.10. (c) 0.89. (d) 0.90. (e) 0.99.

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Answers (1)

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Carolyn Jensen · Answer 1

Answer: option E

Step-by-step explanation: the power of a test is the probability of reject the null hypothesis when the alternative is true, while β is the probability of committing a type 2 error an error committed when you accept the null hypothesis when you are suppose to reject it.

β = 1 - α

Where α is the level of significance and the probability of committing a type 1 error and error you commit when you are suppose to accept the null hypothesis but you rejected it.

From the question, α = 0.01, hence β = 1 - 0.01 = 0.99