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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 extra-curricular categories, and each of two grade categories.

Here are the results:

	Good grades	Poor grades
Low extra-curricular participation	11	2
Moderate extra-curricular participation	68	23
High extra-curricular participation	3	5

(Source: Felder, et.al., “A Study of Student Performance in an Introductory Chemical EngineeringCourse,” 1992 ASEE Annual Conference Proceedings, pp. 1516–1519.)

The count that you found in the previous question is the number of students with high extra-curricular participation and good grades that you would expect to see assuming that:

the conditions that allow us to safely use the chi-squared procedure are met.
extra-curricular participation and grade performance are related.
extra-curricular participation and grade performance are independent.
the null hypothesis of the chi-squared test for independence in this case is true.
both (C) and (D) are correct.

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