Question

Say you suspect (based on prior evidence and inspecting boxplots/histograms) that a difference should be statistically significant but upon performing a Mann-Whitney test, you get a p-value of 0.11 (and your alpha is 0.05). What could be a possible reason for your result? can you please explain in wording if possible like step by step on how to solve this

Answer 1

Here , p-value is 0.11 and = 0.05

Interpretation of p-value:

• Higher the p-value , data are likely to null hypothesis
• Lower the p-value , data are unlikely to null hypothesis

If the p-value, calculated based on null hypothesis, is less than level of significance , then we have sufficient evidence to reject H . Otherwise we cannot reject null hypothesis (H) .

Since 0.11 > 0.05 we have sufficient evidence to reject H .

Hence the difference are not statistically significant.