Q3) Chi-Square Test for Independence (8 points) This question is an extension from Q2 above. The high school teacher was also interested in whether there is a gender difference in terms of the student's choice of majors. So, he broke down the data for his first period class with 50 students by gender in the following table and conducted a Chi-square test for independence with a = .05. Type of Major Female Male Total STEM 8 12 20 Social Sciences 10 10 20 Liberal Arts 8 2 10 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 total) c. Calculate X2 statistic. (2 points) All course content and materials, including this assignment and all other items published within the Canvas course shell, are copyrighted materials and students may not share outside the class, upload to online websites not approved by the instructor, sell, or distribute course content or notes taken during the conduct of the course (see ACD 304-06, "Commercial Note Taking Services" and ABOR Policy 5-308 F.14 for more information). Students must refrain from uploading to any course shell, discussion board, or website used by the course instructor or other course forum, material that is not the student's original work, unless the students first comply with all applicable copyright laws; faculty members reserve the right to delete materials on the grounds of suspected copyright infringement. PSY230_Maynord Spring 2023 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)