4 independence

A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Nike Adidas Other Protestant 85 100 97 Catholic 59 55 98 Jewish 20 18 23 Other 81 76 93 What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? Homogeneity O Paired t-test O Independence O Goodness-of-Fit b. What are the null and alternative hypotheses? Ho : O The distribution of sneaker brand is the same for each religion. O Sneaker brand and religious affiliation are independent. The distribution of sneaker brand is not the same for each religion. O Sneaker brand and religious affiliation are dependent. H1 : O Sneaker brand and religious affiliation are independent. O The distribution of sneaker brand is the same for each religion. O Sneaker brand and religious affiliation are dependent. The distribution of sneaker brand is not the same for each religion. c. The test-statistic for this data = (Please show your answer to three decimal places.)