PROBLEM SET #2 At a large urban college, about half of the students live off campus in various arrangements, and the other half live on campus. Is academic performance dependent on living arrangements? (Total = 15 pts) GPA level by Living Arrangements GPA Living arrangements Off-campus- roommates Off-campus Parents On campus Totals Low Moderate High Totals 2338 22 20 40 90 70 2222 48 90 10 140 4848 54 130 38 300 8888 2.1. Step 1: Make assumptions/Meet requirements (1.5 pts) 2.2. Step 2: State Hypotheses (2 pts) 2.3. Step 3: Establish the critical region (1.5 pts) 2.4. Step 4: Computing the Test Statistic (5 pts) Page 3 of 4 2.5. Step 5: Make a decision and interpret the Test Result (2 pts) 2.6. Compute column percentages (2 pts) 2.7 What do these percentages suggest in terms of the pattern of the relationship? (1 pts) Page 4 of 4 Chi-Square Homework 09 Tasks Read the problem sets carefully, complete a Chi-Square test following the five-step model, and explain the pattern of the tested relationships below. PROBLEM SET #1 Is there a relationship between salary levels and unionization for public employees? The following data represent this relationship for fire departments in a random sample of 100 cities of roughly the same size. Salary data has been dichotomized at the median, and unionization status has been recorded in the Table below. (Total = 15 pts) Salary Levels by Unionization Status Salary Unionization status Union Non-union Totals High 21 29 50 Low 14 36 50 Totals 35 65 100 1.1. Step 1: Make assumptions/Meet requirements (1.5 pts) 1.2. 1.3. 1.4. Step 2: State Hypotheses (2 pts) Step 3: Establish the critical region (1.5 pts) Step 4: Computing the Test Statistic (5 pts) Page 1 of 4 1.5. Step 5: Make a decision and interpret the Test Result (2 pts) 1.6. Compute column percentages (2 pts) 1.7 What do these percentages suggest in terms of the pattern of the relationship? (1 pts) Page 2 of 4