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AP Statistics 3.15.C Interpreting Chi-Square p-Values

Practise interpreting chi-square p-values by assuming the null model is true and describing the probability of a statistic at least as large as the observed value.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Condition on the null model when interpreting the p-value in the study's categorical context.
  • Use the right tail: as extreme or more extreme means a chi-square statistic at least as large.

3.15.C—Interpret the p-value for the chi-square test for homogeneity or independence question 1

[Maximum number: 1]

A chi-square test of homogeneity was conducted to determine whether different racial groups have different distributions in the size of their social networks. The chi-square test statistic and the p-value of the test were 17.43 and 0.037 , respectively. Which of the following is the correct interpretation of the p-value?

A

Assuming that each racial group has the same distribution in size of social network, the probability of finding a test statistic of 17.43 or smaller is 0.037.

B

Assuming that each racial group has the same distribution in size of social network, the probability of finding a test statistic of 17.43 or larger is 0.037.

C

There is a 0.037 probability that the different racial groups have the same distribution of social networks.

D

There is a 0.037 probability that the different racial groups have different distributions of social networks.

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