Suppose a research uses the Mann-Whitney test to determine if there is a difference in the volume of text messages sent by a high school student living in a rural area versus an urban area during the month of December.Eight rural high school students and 9 urban high school students were included in the study.If, among all 17, the U statistic is 29, n₁=8 and n₂ = 9, the conclusion at α=0.05 would be __________ A)reject the hypothesis that the number of text messages sent in December is identical B)do not reject the hypothesis that the number of text messages sent in December is identical. C)reject the hypothesis that the average number of text messages is identical. D)do not reject the hypothesis that the average number of text messages is identical. E)accept the hypothesis that the number of text messages sent in December identical.

Question

Quizplus · Accepted Answer

The Mann-Whitney U test is a non-parametric test used to compare differences between two independent groups when the dependent variable is either ordinal or continuous, but not normally distributed. The decision to reject or not reject the null hypothesis is based on the U statistic calculated from the data. Without the critical value or p-value provided, we cannot definitively conclude the outcome. However, the question implies a decision based on the given U statistic and sample sizes. Since we cannot calculate the exact significance level or compare it to α=0.05 without additional information (such as critical values or p-values), the safest conclusion based on the information provided is that we do not reject the null hypothesis, implying there isn't enough evidence to say there is a difference in the volume of text messages sent by students from rural versus urban areas. This is a cautious interpretation when specific statistical outcomes are not provided.

Suppose a Research Uses the Mann-Whitney Test to Determine If