A researcher has 16 matched pairs for a Wilcoxon Signed-Rank test. For this two-tailed Wilcoxon Signed-Rank test to be significant at $\alpha$ = .05, the test statistic must be…
A) greater than 30
B) less than 30
C) greater than 25
D) less than 25

Question

Quizplus · Accepted Answer

For a two-tailed Wilcoxon Signed-Rank test with 16 matched pairs and a significance level of .05, the critical value must be looked up in a table specific to the Wilcoxon Signed-Rank test. Typically, for n=16, the critical value for a two-tailed test at the .05 level is around 25 or 26. Therefore, for the test to be significant, the test statistic must be less than this critical value, making the correct answer "less than 30," as it is a more conservative (higher) threshold than the actual critical value, ensuring significance if the test statistic is below it.

A Researcher Has 16 Matched Pairs for a Wilcoxon Signed-Rank α\alphaα

A Researcher Has 16 Matched Pairs for a Wilcoxon Signed-Rank $\alpha$