Question

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?

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

3. What is the value of the X² statistic?

4. 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?

Answer 1