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Topic: P-value interpretation
Replies: 2   Last Post: Apr 10, 1997 1:05 AM

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David Thiel

Posts: 136
Registered: 12/6/04
P-value interpretation
Posted: Apr 9, 1997 3:38 PM
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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 P-value? 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 multiple-choice question.
The question assumes no preset significance level.

Q: A significance test gives a P-value 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

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