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.)
What is the expected count of students with high extra-curricular participation and good grades?