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We would like to test whether the population mean is less than 30. Suppose that a hypothesis test is conducted to determine if the mean of the population has decreased. Describe what a Type II error would mean for this example.

Question

We would like to test whether the population mean is less than 30. Suppose that a hypothesis test is conducted to determine if the mean of the population has decreased. Describe what a Type II error would mean for this example.

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Solution

A Type II error in this context would mean that you fail to reject the null hypothesis when it is actually false. In other words, you would conclude that the population mean is not less than 30 when it actually is. This is a false negative result.

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