MGT 2120: Chapter 12
Comparing Multiple Proportions, Test of Independence and Goodness of Fit
§12.1 Testing the Equality of Population Proportions for Three or More Populations
Notations:
p1 = Population proportion for population 1
p2 = Population proportion for population 2, and….
….
pk = Population proportion for population k
The hypotheses for the equality of population proportions for k >= 3 populations:
H0: p1 = p2 = . . . = pk
Ha: Not all population proportions are equal
Sample (fij = Observed frequency in row i and column j)
Population 1
Population 2
….
Population k
Row Total
Yes
f11
f12
….
f1m
f11 + f12 + … f1m
No
f21
f22
….
f2m
f21 + f22 + … f2m
Column Total
f11 + f21
f12 + f22
….
f1m + f2m
Sample size
