You will perform two non-parametric tests. For each hypothesis test make sure to
ID: 3219724 • Letter: Y
Question
You will perform two non-parametric tests. For each hypothesis test make sure to report the following steps:
1. Identify why you choose to perform the statistical test (Sign test, Wilcoxon test, Kruskal-Wallis test).
2. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
3. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
4. Find the critical value(s) and identify the rejection region(s).
5. Find the appropriate standardized test statistic. If convenient, use technology.
6. Decide whether to reject or fail to reject the null hypothesis.
7. Interpret the decision in the context of the original claim.
A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and randomly assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a special diet. At the end of six weeks, the reduction in each subject's blood pressure is recorded. Use the Kruskal-Wallis test to test the claim that there is no difference in the distributions of the blood pressures of the three populations. Use = 0.05.
Group 1
Group 2
Group 3
13
14
11
17
15
10
10
7
4
5
6
2
8
14
6
10
11
6
Group 1
Group 2
Group 3
13
14
11
17
15
10
10
7
4
5
6
2
8
14
6
10
11
6
Explanation / Answer
Kruskal-Wallis test is the one way ANOVA test .
H0:null hypothesis :there is no differences
Ha: alternative hypothesis : there are all different
one running the one way test ,we see that the less obtained p-value than siginificant value of 0.05 and F-statistic value is greater than critical F value ,concludes that we can reject the null hpothesis and conclude that all three have different BP sample means.
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 6 68 11.33333 6.666667 Column 2 6 22 3.666667 7.466667 Column 3 6 43 7.166667 9.766667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 176.7778 2 88.38889 11.09484 0.001103 3.68232 Within Groups 119.5 15 7.966667 Total 296.2778 17Related Questions
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