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.