8. A researcher collected a random and independent sample of 92 people. Their ge was recorded in the table below. If the researcher were to test the claim that there is an association between t and preference for cats or dogs, would this be a test for independence or homogeneity? Assume no one likes cats w dogs. a) Independence b) Homogeneity Cats Dogs Male 36 8 Female 22 26 9. Assuming all necessary conditions are met find the X² statistic for the test in number 8. Give two decimals x² = 13 de 10. In the problem above, if a test was performed to determine if there is an association between gender and preference for cats or dogs and the calculated p-value was 0, what would the final conclusion of the test be? Assume th significance level is .05. a) Reject H: Evidence suggests there is an association between gender and preference for cats and dogs. b) Reject H₂; Evidence suggests there is not an association between gender and preference for cats and dogs. c) Do Not Reject H₂; Evidence suggests there is an association between gender and preference for cats and dogs. d) Do Not Reject H: Evidence suggests there is not an association between gender and preference for cats and dogs e) None of these

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8. A researcher collected a random and independent sample of 92 people. Their gender and preference for cats or s
and preference for cats or dogs, would this be a test for independence or homogeneity? Assume no one likes cats wa
was recorded in the table below. If the researcher were to test the claim that there is an association between gend
dogs.
a) Independence
b) Homogeneity
Cats
Dogs
x²
Male
36
8
Female
22
26
9. Assuming all necessary conditions are met find the X² statistic for the test in number 8. Give two decimals
13. A rando
debit car
deviati
10. In the problem above, if a test was performed to determine if there is an association between gender and
preference for cats or dogs and the calculated p-value was 0, what would the final conclusion of the test be? Assume the
significance level is .05.
a) Reject H₂; Evidence suggests there is an association between gender and preference for cats and dogs.
b) Reject H; Evidence suggests there is not an association between gender and preference for cats and dogs.
c) Do Not Reject H: Evidence suggests there is an association between gender and preference for cats and dogs.
d) Do Not Reject H: Evidence suggests there is not an association between gender and preference for cats and dogs.
e) None of these
Transcribed Image Text:8. A researcher collected a random and independent sample of 92 people. Their gender and preference for cats or s and preference for cats or dogs, would this be a test for independence or homogeneity? Assume no one likes cats wa was recorded in the table below. If the researcher were to test the claim that there is an association between gend dogs. a) Independence b) Homogeneity Cats Dogs x² Male 36 8 Female 22 26 9. Assuming all necessary conditions are met find the X² statistic for the test in number 8. Give two decimals 13. A rando debit car deviati 10. In the problem above, if a test was performed to determine if there is an association between gender and preference for cats or dogs and the calculated p-value was 0, what would the final conclusion of the test be? Assume the significance level is .05. a) Reject H₂; Evidence suggests there is an association between gender and preference for cats and dogs. b) Reject H; Evidence suggests there is not an association between gender and preference for cats and dogs. c) Do Not Reject H: Evidence suggests there is an association between gender and preference for cats and dogs. d) Do Not Reject H: Evidence suggests there is not an association between gender and preference for cats and dogs. e) None of these
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