Row

Alternative Hypothesis

Test

Statistics

p-value

Decision

01

The distribution of the Inefficiency scores from model 1 is normal.

Shapiro-Wilk test

0.698

0.000

H0* rejected

02

The distribution of the Inefficiency scores from model 2 is normal.

0.934

0.000

H0 rejected

03

Inefficiency scores from model 1 are greater than those from model 2.

Wilcoxon matched-pairs signed-rank test

393,127

0.000

H0 rejected

04

Inefficiency scores from income group 1 are greater than those from group 2

Mann Whitney test

134,793

0.000

H0 rejected