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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Sue

Mathematics

25 October, 18:34

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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Macie Johnson · 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