The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Calf Lamar District 15 Nez Perce District Firehole District Row Total 13 13 13 31 41 Yearling Adult 11 33 37 24 46 92 Column Total 63 57 166 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? 0.05 State the null and alternate hypotheses.

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Ho: Age distribution and location are not independent.
H,: 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.)
15.560
Are all the expected frequencies greater than 5?
Yes
O No
What sampling distribution will you use?
O uniform
O normal
O Student'st
O chi-square
O binomial
What are the degrees of freedom?
4
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Op-value > 0.100
O 0.050 < p-value < 0.100
O 0.025 < p-value < 0.050
O 0.010< p-value < 0.025
O 0.005 < p-value < 0.010
O p-value < 0.005
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Transcribed Image Text:Ho: Age distribution and location are not independent. H,: 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.) 15.560 Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O uniform O normal O Student'st O chi-square O binomial What are the degrees of freedom? 4 (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) Op-value > 0.100 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 O 0.010< p-value < 0.025 O 0.005 < p-value < 0.010 O p-value < 0.005 MacBook Pro
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
15
13
13
41
Yearling
Adult
11
6.
13
33
37
24
31
92
Column Total
63
46
57
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?
0.05
State the null and alternate hypotheses.
Ho: Age distribution and location are not independent.
H,: Age distribution and location are not independent.
O Ho: Age distribution and location are independent.
H: Age distribution and location are independent.
Ho: Age distribution and location are independent.
H: Age distribution and location are not independent.
OHo: Age distribution and location are not independent.
H,: 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
15.560
Are all the expected frequencies greater than 5?
O Yes
O No
What sampling distribution will you use?
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 15 13 13 41 Yearling Adult 11 6. 13 33 37 24 31 92 Column Total 63 46 57 166 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? 0.05 State the null and alternate hypotheses. Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H: Age distribution and location are independent. Ho: Age distribution and location are independent. H: Age distribution and location are not independent. OHo: Age distribution and location are not independent. H,: 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 15.560 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use?
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