Question

A researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey. Frequencies of Living Situation and Pet Single Family Couple Dog 92 88 89 Cat 106 80 83 Various 30 44 59 None 62 57 47 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? O Paired t-test Homogeneity Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: The distribution of pets is the same for each living situation. Pet ownership and living situation are dependent. Pet ownership and living situation are independent. The distribution of pets is not the same for each living situation

Answer 1

a) Answer: Independence b) Answers: Ho: Pet ownership and living situation are independent. Hj: Pet ownership and living situation are dependent. c) The test statistic for this data= 15.158 d) The p-value for this sample=0.0191 e) The p-value is >a f) Answer: fail to reject the null g) Answer: There is insufficient evidence to conclude that pet ownership and living situation are dependent. Chi-Square Tests Value df Asymp. Sig. (2-sided) Pearson Chi-Square 15.158 6 0.0191 Likelihood Ratio 15.475 6 0.0169 Linear-by-Linear .033 0.8550 Association N of Valid Cases 837 a. O cells (0.0%) have expected countless than 5. The minimum expected count is 42.74. 1