An archaeologist is studying food consumption patterns among prehistoric peoples. The researcher compares animal bone fragments from two different areas to see whether a different local environment affected food consumption within a single region. The results are shown in the table below. A chi-square test of independence was conducted, resulting in $$\(\chi^{2}=5.768\)$$. The expected counts are shown in the parentheses in the table. Which of the following statements is best supported by these results?
A.
\(\chi^{2}\) is significant, \(p< 0.01\); the counts in the table suggest that the local area may affect food consumption within a single region.
B.
\(\chi^{2}\) is significant, \(p< 0.01\); the counts in the table suggest that the local area is independent of food consumption within a single region.
C.
\(\chi^{2}\) is significant, \(0.01< p< 0.05\); the counts in the table suggest that the local area may affect food consumption within a single region.
D.
\(\chi^{2}\) is significant, \(0.01< p< 0.05\); the counts in the table suggest that the local area is independent of food consumption within a single region.
E.
\(\chi^{2}\) is not significant at the 0.05 level.
Exam No：AP Statistics Problem Set 11 Year：2024 Question No：19
Answer:
E
Knowledge points:
2.2 Representing Two Categorical Variables
8.5 Setting Up a Chi-Square Test for Homogeneity or Independence
8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence
Solution:
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