3. Correlation coefficient r hypothesis test (10 points) Calculate r for the following pairs of data and show the five steps of hypothesis testing for Pearson product moment correlation coefficient. X Y 3 2 4 6 5 4 3 5

4. F test ANOVA hypothesis test (5 points) Researchers asked 180 U.S. college students to identify their political viewpoint as most similar to that of the Republicans, most similar to that of the Democrats, or neither. All three groups then completed a religiosity scale. The researchers wondered whether a political orientation affected levels of religiosity, a measure that assesses how religious one is, regardless of the specific religion with which a person identifies. a. What is the independent variable? b. What is the dependent variable? c. What are the populations? d. What are the samples? e. Why is this an F test statistic hypothesis test (Analysis of Variance)?