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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 following is the (edited) output of the chi-squared test in this case:

Based on the output (and using the traditional significance level of 5%) we can determine that:

the data provide sufficient evidence to conclude that extra-curricular participation and grade performance are independent.
the data do not provide sufficient evidence to conclude that extra-curricular participation and grade performance are independent.
the data provide sufficient evidence to conclude that extra-curricular participation and grade performance are related.
the data do not provide sufficient evidence to conclude that extra-curricular participation and grade performance are related.

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