In the Wilcoxon test of the differences between two populations, the value z statistic was calculated to be 1.80.If the level of significance is 0.05, which of the following decisions is appropriate?
A)Reject the null hypothesis
B)Do not reject the null hypothesis
C)Indeterminate without the sample size
D)Indeterminate without all of the data
E)Inconclusive

Question

Quizplus · Accepted Answer

The Wilcoxon test is a non-parametric test used to compare two populations. The null hypothesis is that there is no difference between the two populations. In this case, since the z-statistic calculated is 1.80 and the level of significance is 0.05, we need to compare the z-value to the critical value from the z-table. For a two-tailed test at α=0.05, the critical values are -1.96 and +1.96. Since 1.80 falls within this range, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference between the two populations. Therefore, the appropriate decision is B, "Do not reject the null hypothesis."

In the Wilcoxon Test of the Differences Between Two Populations