A random sample of 12 men and 12 women were asked to report the number of hours they watched television on a Wednesday evening. If a researcher wanted to test the hypothesis that there is no
Difference in the amount of time spent watching television based on gender, what z-values would be used
For the Wilcoxon rank sum test for $\alpha = 0.05$ (two-tailed)?
A) $z = \pm 1.96$
B) $z = \pm 2.00$
C) $z = \pm 1.67$
D) $z = \pm 3.00$

Question

A random sample of 12 men and 12 women were asked to report the number of hours they watched television on a Wednesday evening. If a researcher wanted to test the hypothesis that there is no
Difference in the amount of time spent watching television based on gender, what z-values would be used
For the Wilcoxon rank sum test for $\alpha = 0.05$ (two-tailed)? 
A) $z = \pm 1.96$
B) $z = \pm 2.00$
C) $z = \pm 1.67$
D) $z = \pm 3.00$

Quizplus · Accepted Answer

The Wilcoxon rank sum test is a non-parametric test that is used to compare two independent groups. The test statistic is the sum of the ranks of the observations in one group minus the sum of the ranks of the observations in the other group. The z-values that are used for the Wilcoxon rank sum test are the same as the z-values that are used for the Mann-Whitney U test. For a two-tailed test with $\alpha = 0.05$, the z-values are $\pm 1.96$.

A Random Sample of 12 Men and 12 Women Were α=0.05\alpha = 0.05α=0.05

A Random Sample of 12 Men and 12 Women Were $\alpha = 0.05$