Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 2/5

Three random samples of 50 students each from grades 9, 10, and 11 are surveyed about their preferred lunch (pizza/salad/sandwich).

Which is the correct null hypothesis?

A
$All lunches are preferred equally$
B
$Mean preference is equal$
C
$The distribution of lunch preferences is the same across all three grades$
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D
$Grade and preference are independent$

Explanation

For a chi-square test of homogeneity, H0 states the distribution of the categorical variable is the same across the populations.

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