The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Lamar District Nez Perce District Firehole District Row Total Calf 15 16 10 41 Yearling 12 11 10 33 Adult 35 29 28 92 Column Total 62 56 48 166 Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance. 1. Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) 2. What are the degrees of freedom?

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