3. (20 points) The following data represent observations collected from 336 children in Grades 4, 5, and 6. Here are two different two-way tables that summarize number of individuals observed at combinations of levels of several categorical variables. Variable GOALS : "What is most important to you : good grades, athletic ability, or popularity?" Variable GRADES : Grade 4, 5, or 6 Variable SCHOOL AREA : Rural, Suburban, or Urban Grade School Area Goals 14 5 Total Goals | Rural Suburban Urban Total Grades | 49 50 69 168 Grades 57 87 24 168 Popular | 24 36 38 98 Popular 50 42 6 98 Sports 19 22 28 69 Sports 42 22 69 Total 1 92 108 135 335 Total | 149 151 35 335 Data source: Chase, M.A and Dummer, G.M. (1992), "The Role of Sports as a Social Determinant for Children," Research Quarterly for Exercise and Sport, 63, 418-424. a. Using MINITAB or SPSS, examine the null hypothesis that there is no relationship between goal preference and grade. Perform the same test for relationship between goal preference and school area. Discuss your conclusions. (Chi-square tests for two- way tables) b. Compute the relative risk of the importance of grades between rural and urban areas. To do this, find the conditional distributions of goals within rural areas and urban areas