Question

5 - Chi-Square Test for Homogeneity 

LEARNING OBJECTIVE: Calculate the expected frequency for a a chi-square test. 

A table represents the possibility of an association between hair color and eye color. 

In order to determine if the eye color of blue and blonde hair colors differ significantly, a chi-square test for homogeneity should be performed. 

What is the expected frequency of Blonde Hair and Blue Eyes? Answer choices are rounded to the nearest hundredth. 

a.) 25.50 b.) 27.67 O c.) 28.41 O d.) 27.25

Answer 1

Hair Colour Blonde Brown Blue 25 26 Eye Colour Green 27 18 Brown 31 22 Brown Total Hair Colour Blonde Brown Total 83 Eye Colour Green 27 18 45 Blue 25 26 51 22 66 149 53 Expected frequency = ( Row total * Column total) / Total = ( 51 * 83) / 149 = 28.41 Answer: Oc.) 28.41