In a Wilcoxon rank sum test, the two sample sizes are 4 and 6, and the value of the Wilcoxon test statistic is T = 20. The test is two-tailed and the level of significance is . What may be deduced from the given information?
A) The null hypothesis will be rejected.
B) The null hypothesis will not be rejected.
C) The alternative hypothesis will not be rejected.
D) The alternative hypothesis will be rejected.

Question

In a Wilcoxon rank sum test, the two sample sizes are 4 and 6, and the value of the Wilcoxon test statistic is T = 20. The test is two-tailed and the level of significance is  . What may be deduced from the given information?
A) The null hypothesis will be rejected. 
B) The null hypothesis will not be rejected. 
C) The alternative hypothesis will not be rejected. 
D) The alternative hypothesis will be rejected.

Quizplus · Accepted Answer

Since the level of significance is not provided, it is not possible to determine whether the p-value is less than or greater than the level of significance. Therefore, we cannot reject the null hypothesis at any reasonable level of significance. Thus, the correct answer is B, which is the null hypothesis will not be rejected.

In a Wilcoxon Rank Sum Test, the Two Sample Sizes