Suppose the Wilcoxon signed-rank test was used on ten pairs of data. If the calculated test statistic for a two-tailed test was found to be 6, at α = 0.05 we can conclude that
A) the null hypothesis should be rejected and the median of the differences is not zero.
B) the null hypothesis should not be rejected and the median of the differences is zero.
C) we know that the groups are the same.
D) the alternative hypothesis should be rejected and there is no difference between the pairs.
E) all groups are the same, as T = 6

Question

Suppose the Wilcoxon signed-rank test was used on ten pairs of data. If the calculated test statistic for a two-tailed test was found to be 6, at α = 0.05 we can conclude that
A) the null hypothesis should be rejected and the median of the differences is not zero.
B) the null hypothesis should not be rejected and the median of the differences is zero.
C) we know that the groups are the same.
D) the alternative hypothesis should be rejected and there is no difference between the pairs.
E) all groups are the same, as T = 6 < Tcrt = 8.

Quizplus · Accepted Answer

The Wilcoxon signed-rank test is a nonparametric test used to test for differences between pairs of related data. In this case, a two-tailed test was used with α = 0.05. The calculated test statistic was 6. The critical value for the Wilcoxon signed-rank test with ten pairs of data and a two-tailed test at α = 0.05 is 8. Therefore, the calculated test statistic is less than the critical value. This means that the null hypothesis should be rejected, and we can conclude that the median of the differences is not zero. Therefore, the correct answer is A.

Suppose the Wilcoxon Signed-Rank Test Was Used on Ten Pairs