The Vold Anti-Poverty Foundation is comparing three employment programs for former foster care youth to determine which leads to best outcomes. The three programs are a vocational skills training program, a mentorship program, and a job placement service. The foundation collected data six months after the youth completed each program and the youth were asked to provide their monthly incomes.
Use the Week 7 Dataset [JASP] to test whether monthly income varied by type of services rendered at a .05 level of significance.
State the following, based on the output shown in the output file you develop:
For each group, state the sample size and monthly income (mean and standard deviation).
State the results of the F-test including degrees of freedom, F-statistic, and p-value.
If the overall F-test is significant, report the results of the Tukey post hoc test.
Respond to the following prompts, based on the value of the test statistic:
Would the ANOVA test lead you to retain the null hypothesis or reject the null hypothesis?
Which groups had the best outcomes, if there is a statistically significant difference?
Provide a summary of the conclusion for this test. Be sure to include the interpretation of the findings for the Vold Foundation.