Question

Which of the following is wrong?

a)The p-value is a probability.

b)The p-value is calculated assuming that the null hypothesis is true.

c)The p-value is the probability that H0 is true.

d)The p-value can be different for different samples in the same test.

Answer 1

The answer is c) The p-value is the probability that H0 is true. [ANSWER]

Explanation:

Given a sample, the p-value is defined as the probability of getting a sample statistic as extreme as the one observed under the assumption that the null hypothesis (H0) is true.

But it is not the case that it is the probability of H0 being true. It is calculated under the assumption that H0 is true but it in no way gives us the probability of H0 being true. Thus, the statement "The p-value is the probability that H0 is true" is wrong and the answer is option c).

Option a) is not the answer because the p-value is indeed a probability.

Option b) is not the answer because the p-value is indeed calculated under the assumption that the null hypothesis true.

Option d) is not the answer because different samples will give different values of the same sample statistic which will further give different values of the p-value for different samples in the same test.

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