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Pvalue interpretation
Posted:
Apr 9, 1997 3:38 PM


All,
First question. If the AP curriculum does not included type I and type II errors, then how would one describe significance levels? Given that alpha is the probability of a type I error, it is possible to discuss alpha without bringing errors into the discussion?
Second. I get the impression that often tests of significance are done without setting an alpha level. If that is the case, how does one really make a decision based on the Pvalue? No matter how small P may be, there is still a chance that we will be wrong if we conclude a significant effect is present.
Last. I would like comments on the following multiplechoice question. The question assumes no preset significance level.
Q: A significance test gives a Pvalue of .04. From this we can say:
A. We will fail to reject H0 4% of the time B. We will reject H0 4% of the time C. If we reject H0, our decision has a 4% chance of being incorrect D. If we reject H0, our decision has a 4% chance of being correct E. None of the above are true
Dave Thiel



