Question

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: 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 extracurricular participation and good grades? a. 112 b. 8 c. 5.86 d. 3

Explanation:

Step1: Calculate row total

Row total for high extra - curricular participation: \(3 + 5=8\)

Step2: Calculate column total

Column total for good grades: \(11+68 + 3=82\)

Step3: Calculate grand total

Grand total: \(11+2+68+23+3+5 = 112\)

Step4: Use formula for expected count

The formula for expected count \(E=\frac{\text{Row total}\times\text{Column total}}{\text{Grand total}}\)
\(E=\frac{8\times82}{112}=\frac{656}{112}\approx5.86\)

Answer:

C. 5.86