6E MC

A researcher plans to conduct a test of hypotheses at the alpha = 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 I error is

• 0.01

• 0.10

• 0.89

• 0.90

• the P-value

The power of a statistical test of hypotheses is

• the smallest significance level at which the data will allow you to reject the null hypothesis.

• equal to 1 - P-value

• the probability that the test will reject both one-sided and two-sided hypotheses.

• the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true.

• equal to 1 - P(Type I error)

Which of the following will increase the power of a significance test?

• Increase the Type II error probability

• Increase the sample size

• Reject the null hypothesis only if the P-value is smaller than alpha

• Decrease the alpha level