For which of these tests do you need to know the sampling distribution of the relevant statistic in order to use the statistic for hypothesis testing?
A) z test
B) t test
C) sign test
D) all of these

Question

Quizplus · Accepted Answer

In order to use any of these tests for hypothesis testing, we need to know the sampling distribution of the relevant statistic. For the z test and t test, we need to know the normal distribution and t distribution, respectively, in order to calculate p-values and make decisions about rejecting or failing to reject the null hypothesis. For the sign test, we need to know the distribution of the number of positive or negative signs in a sample in order to calculate p-values and make decisions about rejecting or failing to reject the null hypothesis. Therefore, knowing the sampling distribution of the relevant statistic is crucial for all three tests.

For Which of These Tests Do You Need to Know