The formal definition of the p-value is \"the probability of obtaining a test st

Question

The formal definition of the p-value is "the probability of obtaining a test statistic at least as large as the one obtained, by random chance, assuming the null hypothesis is true." This is sometimes shortened to "the probability of getting results this extreme, assuming the null hypothesis is true". What are some of the ways in which you think any of the incorrect interpretations (a, b, or c) are different from or roughly the same as the correct one. Do any of the three incorrect interpretations sound like they're about right to you, or if you have trouble seeing what makes them different from the correct one. Explain in post.

A few very common and incorrect interpretations of the p-value are:

"The probability these results occurred by chance"

"The probability that the null hypothesis is true"

"The probability that my research hypothesis is false"

Explanation / Answer

The probability that my research hypothesis is false. This is very common and incorrect interpretation.

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