Chapter 9 Hypothesis Testing 9.6 The Probability of a Type II Error; the Power of the Test

The Probability of a Type II Error Step 1: Determine the sample mean that separates the rejection region from the nonrejection region.

Step 2: Draw a normal curve whose mean is a particular value from the alternative hypothesis with the sample mean(s) found in Step 1 labeled.

Step 3:

Step 3:

Step 3:

EXAMPLE The Probability of a Type II Error

EXAMPLE The Power of the Test Compute the power of the test for the Harley Davidson example.

A power curve is a graph that shows the power of the test against values of the population mean that make the null hypothesis false.