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The following four questions refer to the following information:
To determine if there is a relationship between grade performance and extracurricular participation, North Carolina state conducted a study of 112 randomly selected 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 Engineering Course,”
(1992 ASEE Annual Conference Proceedings, pp. 1516–1519.)
What is the expected count of students with high extra-curricular participation and good grades?
ANSWER:
5.86
Good job! The expected count is: (row total * column total) / table total = 8 * 82 / 112 = 5.86.