Carrying Out a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 3/5

A chi-square test of independence between music preference and age yields p = 0.31.

What is the appropriate conclusion?

A
$p is too small to conclude anything$
B
$Insufficient evidence to conclude music preference and age are associated$
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C
$Music preference and age are independent$
D
$Reject the null hypothesis$

Explanation

With p = 0.31 > 0.05, fail to reject H0. We cannot conclude there is an association; this does NOT prove independence.

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