With alpha at the 005 level using the Wilcoxon RankSum test

With alpha at the 0.05 level using the Wilcoxon Rank-Sum test to determine if X is greater bonding than Y. a.) What are the hypotheses? b.) Calculate the test statistic: Wm c.) What is the critical value? d.) What is the decision on the null hypothesis?

Solution

Sol)

Null hypothesis: There is no difference between X and Y

Alternative hypothesis: X is greater bonding than Y

Level of significance: 0.05

Test Statistic:

From Spss Summary:

Ranks              
N   Mean Rank   Sum of Ranks
Y - X   Negative Ranks 4 2.50 10.00
   Positive Ranks 0 .00 .00
   Ties 0
   Total 4

Test Statistics
Y - X
Z -1.841^b
Asymp. Sig. (2-tailed)   .066
a Wilcoxon Signed Ranks Test  
b Based on positive ranks.  

Conclusion: From Above analysis

p value=0.066 and level of significance (alpha) =0.05

p value > alpha, we do not reject the null hypothsesis.

Hence There is no difference between X and Y bonding.