Q4) Chi-Square Test for Independence (8 points) A market researcher conducted a study to see if different age groups prefer different news sources. He surveyed 80 people in the 25-49 age group and 80 people in the 50+ age group and asked them if they prefer to get their news from TV, online, radio, or printed newspapers. The data are listed in the table below. Conduct a Chi-Square test for Independence with a = .01. News source TV Online Radio Printed papers Group 18-49 20 40 15 5 Group 50+ Total count 30 50 20 60 15 30 15 20 a. What are the variables in this analysis? What scale of measurement is each variable (nominal, ordinal, or continuous)? (2 points) b. State the null and alternative hypotheses in words. (1 point) c. Calculate X statistic. (2 points) d. Calculate the degree of freedom and then identify the critical value. (1 point) e. Compare the X statistic with the critical value. Then report the hypothesis test result, using "reject" or "fail to reject" the null hypothesis in the answer. (1 point) f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)