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Sourav PanSeptember 10, 2024

The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.

The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value?
A) The null hypothesis can never be assumed to be true.
B) The null hypothesis is not stated.
C) The p-value is not the probability of observing 12.4 exactly.
D) The significance level is not stated.
E) The degrees of freedom are not stated.

Sourav Pan
Sourav PanSeptember 10, 2024

Answered

Answer: C) The p-value is not the probability of observing 12.4 exactly.
Explanation: The p-value represents the probability of observing a test statistic as extreme as or more extreme than the one observed, not the probability of observing the exact value.

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