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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.
Answer
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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