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Veterinary researchers are looking to determine if there is a relationship betwe

ID: 3364929 • Letter: V

Question

Veterinary researchers are looking to determine if there is a relationship between the breed of dog treated and reason for treatment (other than immunization or neutering). They can use various approaches to clustering for both breeds and reasons, resulting in tables of different sizes. At the 5% level of significance, what is the appropriate conclusion if 2. a. For a 4x7 table, 148.553 b. For a 5x4 table, X-14.930 c. For a 6x8 table, -52.087 Assume, in the experiments of Problem 2, all but one cell have expected frequencies of at least 10, but that one cell has an expected frequency of 2.93. Which of your conclusions (if any) may be suspect? Why? 3.

Explanation / Answer

a) for degree of freedom =(rows-1)*(column-1) =(4-1)*(7-1)=18

for 18 df and 0.05 level ; critical value =28.869

as test statistic is higher then critical value we reject null hypothesis and conclude that there is a relationship between breed of dog treated and reason for treatment

b)

r degree of freedom =(rows-1)*(column-1) =(5-1)*(4-1)=12

for 12 df and 0.05 level ; critical value =21.026

as test statistic is lower then critical value we fail to reject null hypothesis and can not conclude conclude that there is a relationship between breed of dog treated and reason for treatment

c)

degree of freedom =(rows-1)*(column-1) =(6-1)*(8-1)=35

for 35 df and 0.05 level ; critical value =49.802

as test statistic is higher then critical value we reject null hypothesis and conclude that there is a relationship between breed of dog treated and reason for treatment

3)

for part c; test statistic is very close to test statistic ; therefore for it conclusion is suspect.