In the sign test for paired differences,the test statistic S is the:
A)sum of the ranks of the data values.
B)number of ties in the data.
C)number of pairs with a positive difference.
D)number of pairs with nonzero differences.

Question

Quizplus · Accepted Answer

In the sign test for paired differences, we only consider the direction of the difference between pairs, not their magnitude. Hence, we count the number of pairs where the difference is positive (i.e., one value is greater than the other). This gives us the test statistic S, which follows a binomial distribution under the null hypothesis. The other choices (A, B, and D) are not relevant to the sign test for paired differences.

In the Sign Test for Paired Differences,the Test Statistic S