Question

A researcher plans to conduct a test of hypotheses at the 1% significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. What is 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

Answer 1

P(Type II error) = 0.1

Explanation:

In statistics, the formula for power of a hypothesis is given by;

Power = 1 - P(Type II error)

Where P(Type II error) is the probability of making a Type II error.

We are told that the power is 0.9.

Thus;

0.9 = 1 - P(Type II error)

Making P(Type II error) the subject gives;

P(Type II error) = 1 - 0.9

P(Type II error) = 0.1