In: Statistics and Probability
PLEASE Include Explanation
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.
|
Solution:
Given
|
Dem |
Ind |
RT |
|
Christian |
12 |
20 |
7 |
39 |
Not Christian |
9 |
18 |
4 |
31 |
CT |
21 |
38 |
11 |
70 |
SPSS Output:
Bar Graph:
Since the p-value (0.998) is greater than the significance level (0.05)
we fail to reject the null hypothesis.
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.
Please give upvote.
Thank you.