Unit 10-2

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

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Power of a test Power of a test
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 2
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 ! !
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 11

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

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online