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This problem is the essestially the same as the t-test problem in Week 11, but you will do the Wilcoxon tests instead of the t-tests.
The csv file of Stat 200's survey 2 (Spring 2016) result was uploaded to our website here. After downloading the file to your R's work space, you can load it to R using the command
stat200 <- read.csv("Stat200_Spring2016_Fireman_Survey02.csv")
The variable in each column is described on this webpage. Take some time to explore the data.
In one survey question, students are asked to rate how important they thought ending racism was on a scale of 0-10 (with 0 meaning not at all important and 10 meaning extremely important).
a. Perform a Wilcoxon test to determine if there is any difference between males and females on the issue of ending racism. Enter the p-value to 3 significant figures.
P-value =
Adopting the null cutoff α = 5%, what do you conclude? The groups' attitudes towards ending racism are significantly different from each other in the population. The groups' attitudes towards ending racism are not significantly different from each other in the population.
b. Students who are not eligible to vote are indicated by -1 in the 'voteMar' column. Perform a Wilcoxon test to determine if there is any difference between students who are eligible to vote and those who are not eligible to vote on the issue of ending racism. Enter the p-value to 3 significant figures.
P-value of the Wilcoxon test =
What do you conclude? The groups' attitudes towards ending racism are significantly different from each other in the population. The groups' attitudes towards ending racism are not significantly different from each other in the population.
A very similar survey was conducted in the Stat 100 classes. The csv file of the result is uploaded here. Download it and then load it to R using the command
stat100 <- read.csv("Stat100_Spring2016_Laska_Survey03x.csv")
c. Perform a Wilcoxon test to determine if there is any difference between the Stat 200 and Stat 100 students on the issue of ending racism. Enter the p-value to 3 significant figures.
What do you conclude? The attitudes towards ending racism between Stat 100 and Stat 200 students are significantly different. The attitudes towards ending racism between Stat 100 and Stat 200 students are not significantly different.
d. Perform a Wilcoxon test to determine if there is any difference between the Stat 200 female students and Stat 100 female students on the issue of ending racism. Enter the p-value to 3 significant figures.
e. Perform a Wilcoxon test to determine if there is any difference between the Stat 200 male students and Stat 100 male students on the issue of ending racism. Enter the p-value to 3 significant figures.