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Concept Check: Interpreting the p-value 1 point possible (graded) Consider a hypothesis test with null H0...

Concept Check: Interpreting the p-value

1 point possible (graded)

Consider a hypothesis test with null H0 and alternative H1 regarding an unknown parameter θ. You observe a sample X1,…,Xn∼iidPθ and compute the p-value.

What is a correct interpretation of the p-value?

Math   Statistics-And-Probability   
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Answer #1

A hypothesis test is conducted, with null hypothesis H0 and alternative hypothesis H1, regarding a parameter .

Now, a sample X1, X2, X3,.... ,Xn are randomly selected from the population.

Now, the p-value is calculated.

We know that the p-value is the probability that the results of the hypothesis test is observed, when the Null hypothesis is actually true.

So, the correct interpretation of the p value is

It is the probability of observing the test statistic from a hypothesis test, given that the Null hypothesis is correct.

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