NAME: Quantitative Analysis Due: Assignment 9: Analysis of Variance For the two research scenarios below, use the SPSS output for ANOVA and draw a conclusion based on the results provided. Use an alpha level of .05. You may assume equal variances. Research Question 1: Does it make any difference which video is shown to participants? Or do all three groups have equal levels of anxiety after viewing the video? Researchers are interested in understanding what factors reduce anxiety in job seekers (\"Job Anxiety\"). Job anxiety is measured on a scale from 1-10, with 10 being the most anxious. Job applicants are divided into three groups: a control group (\"Control\"), a group that watches a motivational pep talk video about preparing to go on the job market (\"Pep Talk\"), and a group that watches a video about what they can realistically expect from their job search (\"Realism\"). Descriptive Statistics: ANOVA Hypothesis Test Results: 1. Why is ANOVA an appropriate test to use for this research study? 2. State your null and alternative/research hypotheses using proper notation, when appropriate. 1 3. Identify the following: k (number of groups or samples) = Nk (number of cases within each group or sample) = N (total number of cases) = dfb (between-groups degrees of freedom) = How is it calculated? dfw (within-groups degrees of freedom) = How is it calculated? critical value for F (using the F table) = SSB (Sum of Squares Between groups) = SSW (Sum of Squares Within groups) = Mean square between = How is it calculated? Mean square within = How is it calculated? F ratio (test statistic) = How is it calculated? 4. Is the test statistic within the critical region? YES / NO 5. Can you reject the null? YES / NO 6. Is there a statistically significant difference between at least one mean and the other means? YES / NO 7. What do your findings suggest is the answer to Research Question 1 (stated above)? (Be specific and mention the variables in this problem.) 2 Research Question 2: Does the type of video shown have any impact on job satisfaction? Six months after the experiment, the researchers follow up with each of the participants. To their pleasant surprise, every one of the unemployed people has been able to find gainful employment. Therefore, instead of asking them follow-up questions about job-market-related anxiety, they ask participants questions about how satisfied they are with the jobs they were able to find. The researchers are concerned that the videos they showed may have encouraged participants to find jobs that were not suited for them. The dependent variable \"Job Satisfaction\" is measured on a scale from 20-100, with higher numbers indicating higher job satisfaction, which is generally associated with higher pay, benefits, and a cordial work environment. Descriptive Statistics: Hypothesis Test Results: 1. Why is ANOVA an appropriate test to use for this research study? 2. State your null and alternative/research hypotheses using proper notation, when appropriate. 3 3. Identify the following: k (number of groups or samples) = Nk (number of cases within each group or sample) = N (total number of cases) = dfb (between-groups degrees of freedom) = How is it calculated? dfw (within-groups degrees of freedom) = How is it calculated? critical value for F (using the F table) = SSB (Sum of Squares Between groups) = SSW (Sum of Squares Within groups) = Mean square between = How is it calculated? Mean square within = How is it calculated? F ratio (test statistic) = How is it calculated? 4. Is the test statistic within the critical region? YES / NO 5. Can you reject the null? YES / NO 6. Is there a statistically significant difference between at least one mean and the other means? YES / NO 7. What do your findings suggest is the answer to Research Question 2 (stated above)? (Be specific and mention the variables in this problem.) 4