Find the value of the chi-square statistic for the sample

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The following table shows age distribution and location of a random sample of 166 buffalo in a national park.

AgeLamar District Nez Perce District Firehole District Row Total Calf 17111341 Yearling 1311933 Adult 33283192 Column Total635053166 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? 

State the null and alternate hypotheses. 

H0: Age distribution and location are not independent.

H1: Age distribution and location are independent. 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. 

(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? 

chi-square Student's t      uniform binomial normal 

What are the degrees of freedom?

Reference no: EM132851146

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