In a Wilcoxon signed rank sum test, the test statistic is calculated as T = 75. If there are n = 15 observations for which $D \neq 0$ , and a two-tail test is performed at the 5% significance level, then:
A) we reject the null hypothesis.
B) we don't reject the null hypothesis.
C) the test results are inconclusive.
D) we perform a parametric test.

Question

Quizplus · Accepted Answer

The critical value for a two-tailed Wilcoxon signed rank sum test with n = 15 and α = 0.05 is 21. Since T = 75 is greater than the critical value of 21, we don't reject the null hypothesis. Therefore, we conclude that there is insufficient evidence to suggest that the median of the paired differences is different from zero. We don't need to perform a parametric test since the Wilcoxon signed rank sum test is a non-parametric test.

In a Wilcoxon Signed Rank Sum Test, the Test Statistic D≠0D \neq 0D=0

In a Wilcoxon Signed Rank Sum Test, the Test Statistic $D \neq 0$