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EXAMPLE 35 Power of a hypothesis test

Calculate the power, for the particular alternative value of the mean, of the hypothesis test in Example 34.

Solution

The probability of a Type II error was found in Example 34 to be β=0.0475. Thus, the power of the hypothesis test is

power =1-β=1-0.0475=0.9525

The probability of correctly rejecting the null hypothesis is 0.9525.

NOW YOU CAN DO

Exercises 17–28.

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