# 5.5.4 - Correlation Example: Quiz & Exam Scores

5.5.4 - Correlation Example: Quiz & Exam ScoresUsing 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.