Question

		gender	gpa	final	total
gender	Pearson Correlation	1	.208*	-.140	-.143
	Sig. (2-tailed)		.033	.156	.145
	N	105	105	105	105
gpa	Pearson Correlation	.208*	1	.223*	.199*
	Sig. (2-tailed)	.033		.022	.041
	N	105	105	105	105
final	Pearson Correlation	-.140	.223*	1	.881**
	Sig. (2-tailed)	.156	.022		.000
	N	105	105	105	105
total	Pearson Correlation	-.143	.199*	.881**	1
	Sig. (2-tailed)	.145	.041	.000
	N	105	105	105	105

Report the correlation between gpa and final, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Analyze the correlation in terms of the null hypothesis.

Answer 1

The correlation coefficient value between GPA and final is 0.223 with the degree of freedom=N-2=105-2=103. The p-value for this test is 0.022. Also, the correlation coefficient value falls within the rage of 0.1 to 0.3. So, the effect size is small. Hence, we can reject the null hypothesis and conclude that the correlation between the GPA and final has a significant association at the 0.05 level of significance with a small strength of association.