Step 1: Formulate hypothesis
𝐻0 : ρ = 0;
students.
There is no significant correlation between the student’s GEC 05 grades and GPA of male
𝐻1 : 𝜌 ≠ 0;
students.
There is significant correlation between the student’s GEC 05 grades and GPA of male
Step 2: Test statistic
Test procedure: Peason’s r
Test statistic: 𝑋̅ = 86.93, 𝑌̅ = 81.47, 𝑆𝐷𝑥 = 8.14, 𝑆𝐷𝑦 = 6.43, ∑ 𝑋𝑌 = 213,928
∑ 213,928
∑ 𝑋𝑌
− (86.93)(81.47)
− (𝑋̅)(𝑌̅)
30
𝑁
𝜌=
=
= 0.93
(8.14)(6.43)
(𝑆𝐷𝑥 )(𝑆𝐷𝑦 )
Step 3: Decision rule
𝜌
Less than .20
.21-.40
.41-.70
.71-.90
.91-1.00
Interpretation
Almost negligible relationship
Definite but small relationship
Substantial relationship
Marked relationship
Very dependable relationship
Step 4: Decision
Since 𝜌 = 0.93 > 0, reject 𝐻0
Step 5: Conclusion
The results show a very dependable relationship between the GEC 05 grades and the GPA of male
students.