The Head Start Program offers early childhood education support for children up to age 5 from low income families. In a recent study of fifth graders, a sample of 1500 students was randomly selected from each of three groups: children who had gone through the Head Start Program, children from low income families who did not go through the Head Start Program, and children from families who were not eligible for the Head Start Program because their family incomes were too high to meet program requirements. In each sample of 5th graders, the proportion of students who were reading at or above grade level was recorded. In Group 1, the proportion was .38. In group 2, it was .36. In group 3, the proportion was .42. Use the chi square distribution to test the hypothesis that the proportion of students who read at or above grade level is the same for all three student categories represented by the samples. Use a significance level of 5%.