The following table shows age distribution and location of a random sample of 166 buffalo in Yellowstone National Park (based on information from The Bison of Yellowstone National Park, National Park Service Scientific Monograph Series):

Use a chi-square test to determine if age distribution and location are independent
at the 0.05 level of significance.
Please provide the following information:
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a)€“(c), will you reject or fail to reject the null hypothesis of independence?
(e) Your conclusion in the context of the application.
Use the expected values E to the hundredths place.

Transcribed Image Text:

Firehole District 15 12 30 57 Nez Perce District Lamar Row Total Age Calf Yearling Adult Column Total District 13 10 34 57 41 13 92 28 52 166