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Statistics Power?
Here's the question:
Suppose the alternate value of pi we are concerned about it .0095 and the critical value of the sample proportion, p, is .0097. Which of the following statements describes power?
A) P(p > .0097 I pi = .0098)
B) P(p < .0097 I pi = .0095)
C) P(p > .0097 I pi = .0095)
D) P(p < .0097 I pi = .0098)
I'm really really confused about what power represents and how you know what statement it is!
1 Answer
- 1 decade agoFavorite Answer
The power of a statistical test is the probability of rejecting the null hypothesis when the true (but unknown) parameter is set to a particular value (s). In this case your test is set up to reject the null hypothesis if the value of p is greater than 0.0097. So your answer would be the probability of (P > 0.0097 | pi = 0.0095)
Realize that the further away from 0.0097 that your pi goes, the higher the power will be.
