Use the following table for the next four questions. This table shows the observ

Question

Use the following table for the next four questions. This table shows the observed counts of a random sample of 166 buffalos in Yellowstone National Park by age the buffalo. Assume 5% level of significance. distribution and location of Lamar District 13 10 34 57 Age Calf Yearling Nez Perce District 13 Firehole District 15 Row total Adult 92 166 30 28 52 Column total 11. (4 points) What are the hypotheses for the Chi-Square test of significance regarding this problem. (a) Ho: There is a positive relationship between the age of the buffalo and location (b) Ho: Older buffalo are more likely to be found in the Lamar district (c) Ho: Age of buffalo and location found are independent (d) Ho: There is an association between the age of the buffalo and location HA: There is no relationship between the age of the buffalo and location HA: Older buffalo are equally distributed among the three districts HA: Age of buffalo and location found are dependent Ha: There is no association between the age of the buffalo and location 12. (4 points) If age distribution and location are independent, what are the expected countsof adult buffalos per district? (a) Lamar: 34, Nez Perce: 28, Firehole: 30 (b) Lamar: 32.1, Nez Perce: 27.7, Firehole: 32.2 (c) Lamar: 32, Nez Perce: 29, Firehole: 32 (d) Lamar: 31.6, Nez Perce: 28.8, Firehole: 31.6 (e) Lamar: 29.9, Nez Perce: 28.3, Firehole: 33.8 13. (4 points) What are the degrees of freedom for this particular problem (a) 4 (b) 1 (c) 165 (d) 2 (e) 6

Explanation / Answer

11) option C is corect

12) for independence as expected count =row count*column count/grand total

option D is correct

13)

degree of freedom =(row-1)*(column-1) =(3-1)*(3-1)=4

option A

Expected E=rowtotal*column total/grand total lamar Nez Perce Firehole Calf 14.078 12.843 14.078 Yearling 11.331 10.337 11.331 Adult 31.590 28.819 31.590

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