Question

The overall percentages-of-total-possible-credit in a particular statistics class were recorded for marketing majors, management majors, accounting majors and finance majors. The rankings of the data are presented below. Test the following H₀: The majors have equivalent scores? Use the Kruskal-Wallis test.

Marketing	Management	Accounting	Finance
1	2	3	4
5	6	7	8
12	11	10	9
16	15	14	13
21	22	23	24
20	19	18	17

Calculated test statistic:

Critical value of the test statistic:

Decision rule:

Decision:

Answer 1

n=28

n₁=n₂=n₃=7

R₁=R₂=R₃=75

Calculated test statistic=0

critical value of the test statistic: chi-square percentage function(0.05,4-1) or (5%,3)=0.3518

remark: we don't use the chi-square test statistic since the observed values for which the ranks are given are in percentages

Decision rule: if the calculated value is less than tabulated value then reject the null hypothesis

here 0<0.3518

hence we accept the null hypothesis

Decision:

the majors have equivalent scores