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A small P-value indicates which of the following? I) the parameter value indicated by the null...

A small P-value indicates which of the following?

I) the parameter value indicated by the null hypothesis is not plausible

II) the null hypothesis should be rejected in favor of the alternative hypothesis

III) the difference between the parameter value and the value specified in the null hypothesis is practically significant

Math   Statistics-And-Probability   
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Answer #1

The p-value is the probability of obtaining results as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct.

  • A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

  • A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

Answer:

I) the parameter value indicated by the null hypothesis is not plausible

II) the null hypothesis should be rejected in favor of the alternative hypothesis

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