# 5.5.4 - Correlation Example: Quiz & Exam Scores

Using the sample data in:

We want to know if there is evidence of a positive relationship between quiz scores and final exam scores in the population of all World Campus STAT 200 students. If there is a positive relationship, then the population correlation would be greater than zero. This can be translated to the following hypotheses:

$$H_0: \rho = 0$$

$$H_a: \rho > 0$$

Step 1: We are examining the relationship between two quantitative variables. We should compute and test Pearson's r which is a correlation coefficient.

$$H_0: \rho = 0$$

$$H_a: \rho > 0$$

Step 2: We constructed a randomization distribution given that the correlation in the population is 0.

Step 3: $$p<0.001$$

Step 4: $$p\leq 0.05$$, we should reject the null hypothesis

Step 5: There is evidence of a positive relationship between quiz scores and final exam scores in the population of all World Campus STAT 200 students.