The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Lamar District Firehole District Age Calf Yearling Adult Nez Perce District Row Total 16 12 15 10 41 11 10 33 33 30 29 92 Column Total 61 56 49 166 A USE SALT 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. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: 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? O Yes O No What sampling distribution will you use? O uniform O Student'st O binomial chi-square O normal What are the degrees of freedom?

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The following table shows age distribution and location of a random sample of 166 buffalo in a national park.
Age
Calf
Lamar District
Nez Perce District
Firehole District
Row Total
16
15
10
41
Yearling
Adult
12
11
10
33
33
30
29
92
Column Total
61
56
49
166
n USE SALT
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.
O Ho: Age distribution and location are independent.
H,: Age distribution and location are not independent.
O Ho: Age distribution and location are independent.
H: Age distribution and location are independent.
O Ho: Age distribution and location are not independent.
H,: Age distribution and location are independent.
O Ho: Age distribution and location are not independent.
H,: 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
O No
What sampling distribution will you use?
O uniform
O Student's t
O binomial
O chi-square
O normal
What are the degrees of freedom?
DOOO
Transcribed Image Text:The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Calf Lamar District Nez Perce District Firehole District Row Total 16 15 10 41 Yearling Adult 12 11 10 33 33 30 29 92 Column Total 61 56 49 166 n USE SALT 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. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: 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 O No What sampling distribution will you use? O uniform O Student's t O binomial O chi-square O normal What are the degrees of freedom? DOOO
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