Which of the following are correct interpretations of the p-value? Select one or

ID: 3305421 • Letter: W

Question

Which of the following are correct interpretations of the p-value?

Select one or more:

a. The p-value is the probability of observing the test statistic or more extreme assuming the null hypothesis is true

b. The p-value is the probability that the null hypothesis is true

c. The p-value quantifies how likely it would be to observe our sample data assuming the null hypothesis is true

d. The p-value is the probability of Type I Error

e. If the p-value is small relative to the significance level then we reject the null hypothesis

f. A small p-value proves that the alternative hypothesis is true

g. A large p-value proves that the null hypothesis is true

a. The p-value is the probability of observing the test statistic or more extreme assuming the null hypothesis is true: This statement is True

b. The p-value is the probability that the null hypothesis is true: This statement is Not Correct

c. The p-value quantifies how likely it would be to observe our sample data assuming the null hypothesis is true: This statement is True

d. The p-value is the probability of Type I Error: This statement is True

e. If the p-value is small relative to the significance level then we reject the null hypothesis: This statement is True

f. A small p-value proves that the alternative hypothesis is true: This statement is Not Correct.

g. A large p-value proves that the null hypothesis is true: This statement is Not Correct

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