In: Statistics and Probability
A paper in PNS looked at the difference in species number between related groups of multiple mating versus single mating insects. Paired phylogenetic contrasts are shown in the table below. Analyze data non-parametrically. Show all steps.
Polyandrous | Monandrous |
53 | 10 |
73 | 120 |
228 | 74 |
353 | 289 |
157 | 30 |
300 | 4 |
34 | 18 |
3400 | 3500 |
20 | 1000 |
196 | 486 |
1750 | 660 |
55 | 63 |
37 | 115 |
100 | 30 |
21000 | 60 |
37 | 40 |
7 | 5 |
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We can conduct Wilcoxon Signed Rank Test here.
Null hypothesis Ho : Two population medians are identical
Alternative hypothesis H1 : They are different
Full calculation with detailed steps are given below as an image.
Decision: Since the test is not significant,i.e, p value > 0.05 , we have no sufficient evidence to Reject Null Hypothesis
Conclusion : At 95% confidence level we conclude that two population medians are identical