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	9	13	19	41
Yearling	10	10	13	33
Adult	36	26	30	92
Column Total	55	49	62	166

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

a) State the null and alternate hypotheses.

H₀: Age distribution and location are independent.
H₁: Age distribution and location are independent.

H₀: Age distribution and location are independent.
H₁: Age distribution and location are not independent.    

H₀: Age distribution and location are not independent.
H₁: Age distribution and location are not independent.

H₀: Age distribution and location are not independent.
H₁: 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 decimal places.)


-Are all the expected frequencies greater than 5?

Yes

No    

-What sampling distribution will you use?

uniform

normal    

Student's t

chi-square

binomial

c) What are the degrees of freedom?

Answer 1