Chapter 11.1, Problem 13P

For Problems 9-19. 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) to (c). will you reject or fail to reject the null hypothesis of independence?

(c) Interpret your conclusion in the context of the application.

Use the expected values E to the hundredths place.

Ecology: Buffalo 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 Bark, National Park Service Scientific Monograph Series).

Age	LamarDistrict	Nez Perce District	Firehole District	Row Total
Calf	13	13	15	41
Yearling	10	11	12	33
Adult	34	28	30	92
Column Total	57	52	57	166

Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.