Social scientists have produced convincing evidence that parental divorce is negatively associated with the educational success of their children. The paper €œMaternal Cohabitation and Educational Success€ [Sociology of Education (2005) 78: 144€“ 164] describes a study that addresses the impact of cohabiting mothers on the success of their children in graduating from high school. The following table displays the educational outcome by type of family for 1,168 children.

a. Display the above data in a graph to demonstrate any differences in the proportions of high school graduates across family types.
b. Is there significant evidence that the proportions of students who graduate from high school are different across the various family types?

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Type of Family Twe-Parent Single-Parent Stepparent Always Divorce No Coa. With Cohah. Total 1,016 152 1,168 High Schl. Grad. 231 29 260 193 51 244 61 124 407 45 452 Yes 16 Total 135