Unit 10-2

# Unit 10-2 - Power of a test Power The power of a...

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Power of a test Power of a test

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The power power of a test (against a specific alternative value) Is the probability that the test will reject the  null hypothesis when the alternative is true In practice, we carry out the test in hope of  showing that the null hypothesis is false, so  high power is important
H 0 True H 0 False Reject Fail to reject Type I Correct Correct Type II Power α β Suppose H 0 is true – what if we decide to fail to reject it? Suppose H 0 is false – what if we decide to reject it? Suppose H 0 is true – what if we decide to reject it? Suppose H 0 is false – what if we decide to fail to reject it? We correctly reject We correctly reject a false H a false H 0 ! !

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a population with standard deviation  σ  = 35 in  order to test at the 1% significance level the  hypothesis: H 0 μ  = 680 H a μ  > 680 What is the probability of committing a Type I  error? α
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Unit 10-2 - Power of a test Power The power of a...

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