Question

Consider the following hypothetical data in the table below describing a survey in which dog and...

  1. Consider the following hypothetical data in the table below describing a survey in which dog and cat owners are asked whether they go for daily walks. Assume that we want to use a 0.01 significance level to test the claim that whether you own a dog or a cat is independent of whether you take a daily walk (based on Concepts and Applications of two-way table hypothesis tests, Bennett, Briggs, & Triola Statistical Reasoning for Everyday Life, 2018, p. 354, #10.

Daily walk

No Daily walk

Dog owner


95

15


Cat owner


40

65

                                                               

  


  1. What are the null and alternative hypotheses for this study?

  1. Assuming independence, what are the expected frequencies for each of these variables?

  1. What is the value of the X2 statistic?

  1. Use a .01 significance level to test the claim of independence between whether those surveyed take daily walks and whether they are owners of either dogs or cats. Are those two behaviors independent of each other?

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