To determine if there is a relationship between grade performance and extracurricular participation, North Carolina State conducted a study of 112 students, recording the number of students in each of three extracurricular categories and each of two grade categories. Here are the results: Low extra-curricular participation Moderate extra-curricular participation High extra-curricular participation Good grades 11 68 3 Poor grades 2 23 A. The conditions that allow us to safely use the chi-squared procedure are met. 5 Source: Felder, et al., "A Study of Student Performance in an Introductory Chemical Engineering Course," 1992 ASEE Annual Conference Proceedings, pp. 1516-1519. The expected count of students with high extracurricular participation and good grades is the number of students that you would expect to see assuming that which of the following is correct? Check all that apply. B. Extracurricular participation and grade performance are related. C.Extracurricular participation and grade performance are independent. D. The null hypothesis of the chi-squared test for independence in this case is true.

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