Question: You read a study that just barely fails to be significant at the .05 level. That is, the result is not statistically significant. You then
You read a study that just barely fails to be significant at the .05 level. That is, the result is not statistically significant. You then look at the size of the sample. If the sample is very large (rather than very small), how should this affect your judgment of
(a) the probability that the null hypothesis is actually true and
(b) the probability that the null hypothesis is actually false?
(c) Explain your answers to a person who understands hypothesis testing but has never learned about power.
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