Question

Match the hypothesis testing terminology to its definition.

1. The value of the statistic for which the test just rejects the null hypothesis at the given significance level.
2. The probability that the test correctly rejects the null hypothesis when the alternative is true.
3. The prescribed rejection probability of a statistical hypothesis test when the null hypothesis is true.
4. The probability that the test incorrectly rejects the null hypothesis when it is true.

Options:
A. Significance level
B. Critical value
C. Power of the test
D. Size of the test

Answer 1

Answer:

1. Critical Value: The value of the statistic for which the test just rejects the null hypothesis at the given significance level.

2. Power of the Test: The probability that the test correctly rejects the null hypothesis when the alternative is true.

3. Significance Level: The prescribed rejection probability of a statistical hypothesis test when the null hypothesis is true.

4. Size of the test: The probability that the test incorrectly rejects the null hypothesis when it is true.