Q2 Use the betweengroup variance withingroup variance and Fo

Q2) Use the between-group variance, within-group variance, and F_obt based on the data below to conduct the following hypothesis test. The political science department of a public university is interested in determining if a person’s political affiliation affects their likelihood that they respect the government’s authority. To answer this question, they randomly polled separate groups of individuals with ‘Conservative’, ‘Moderate’, and ‘Liberal’ political views. For each subject within each group, the researchers asked questions and computed a “Cooperation with Police” score for each subject. “Cooperation with Police” serves as a measure for each person’s respect for government authority. Conduct an ANOVA (full hypothesis test) to determine if political view influences respect for government authority. If the ANOVA indicates that all population means are not equal determine which population mean is different using independent sample t-tests.

For this test, use a p-value of .05 to set your critical value and make sure to show all 5 steps of the hypothesis test. Show as much of your work as possible

SCORING RUBRIC

Problem 2 (10 points):

State the hypothesis (2 points)Deduct as follows:

If any aspect of null hypothesis written in words is incorrect (.5 point)

If any aspect of null hypothesis written in notation is incorrect (.5 point)

If any aspect of alternative hypothesis written in words is incorrect (.5 point)

If any aspect of alternative hypothesis written in notation is incorrect (.5 point)

Determine sampling distribution (0 points)Deduct as follows:

If they do not correctly choose an ANOVA (0 points) This is because students will be penalized enough in the other sections of this problem if they aren’t conducting an ANOVA.

Determine critical value (2 point)Deduct as follows:

If the critical value is not correct (1 points)

If degrees of freedom are not correct (.5 point per df, total of 1 point)

Conduct hypothesis test (3 points)Deduct as follows:

If correct equation is not used (1 points)

If correct F statistic is not found (1 points)

If F obtained is not compared to F critical in some form – words or notation (1 point)

Make decision about rejecting/failing to reject the hypothesis (3 points)Deduct as follows:

If student does not explicitly state “fail to reject the null hypothesis” (1 point)

If student does not write correct conclusion in words (1 points)

If student does not write correct conclusion in notation (1 points)

Solution