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 14 14 13 41 Yearling 13 10 10 33 Adult 32 26 34 92 Column Total 59 50 57 166 Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.     a)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.)

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