Question

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	12	14	15	41
Yearling	9	10	14	33
Adult	31	29	32	92
Column Total	52	53	61	166

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?

(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 decimal places.)

What are the degrees of freedom?

Answer 1

The statistical software output for this problem is :

level of significance = 0.05

chi-square statistic = 0.875

degrees of freedom = 4