Consider the following (hypothetical) data 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.

a. What is it about the given table that makes it a two-way table? Identify the two variables shown in the table.
b. What are the null and alternative hypotheses for this study?
c. Find the expected frequency for the cell with an observed value of 95.
d. The test statistic for this hypothesis test is x2 = 53.570.

Find the critical value. What do we conclude?

Transcribed Image Text:

Dog owner Cat owner Daily walk 95 40 No daily walk 15 65