The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Calf Yearling Adult Column Total Lamar District 15 11 Firehole District 13 13 31 57 Nez Perce District Row Total 13 33 37 24 92 63 46 166 A USE SALT Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. (b) 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 decima 15.560 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O uniform O normal O Student's t