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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