The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Calf Yearling Adult Column Total Lamar District 13 12 35 Nez Perce District 12 9 24 45 Firehole District 16 12 33 61 Row Total 41 33 92 166 60 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. O Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. Ho: Age distribution and location are 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.) 14.819
The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Calf Yearling Adult Column Total Lamar District 13 12 35 Nez Perce District 12 9 24 45 Firehole District 16 12 33 61 Row Total 41 33 92 166 60 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. O Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. Ho: Age distribution and location are 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.) 14.819
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
Transcribed Image Text:The following table shows age distribution and location of a
random sample of 166 buffalo in a national park.
Age
Calf
Yearling
Adult
Column Total
Lamar District
13
12
35
Nez Perce District
12
9
24
45
Firehole District
16
12
33
61
Row Total
41
33
92
166
60
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.
O Ho: Age distribution and location are not independent.
H,: Age distribution and location are not independent.
O Ho: Age distribution and location are not independent.
H,: Age distribution and location are independent.
O Ho: Age distribution and location are independent.
H,: Age distribution and location are not independent.
Ho: Age distribution and location are 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.)
14.819
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