Question

Problem Set 2: Chi Square Test of Independence (8 pts) A public opinion poll surveyed a sample of 70 attendees of a local fair. Respondents were classified by religious affiliation (Christian or Not) and by voting preference (Republican, Democrat, or Independent). Results are shown in the table below. Is there a difference between those who identify as Christian and not in voting preference? Create an SPSS data file to conduct the appropriate statistical test. Rep Dem Ind RT Christian 12 20 7 39 Not Christian 9 18 4 31 CT 21 38 11 70

1. Paste appropriate SPSS output. (3 pts)

2. Calculate the effect size (show all work and don’t round until your final answer – then, use two decimal places). (1 pts)  

3. Paste appropriate SPSS graph. (1 pts)

4. Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks for that particular statistical test. Don’t forget to include a decision about the null hypothesis. (3 pts)

Answer 1

The SPSS output is:

The bar graph is:

Since the p-value (0.998) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we can conclude that there is no difference between those who identify as Christian and not in voting preference.

The effect size is 0.03.

There is a small effect.