Question

1. Chi-square Test of Independence

A political psychologist is interested in whether the community a person lives in is related to that person's opinion on an upcoming water conservation ballot initiative. The psychologist surveys a random sample of 96 people by phone from three different communities, with the results shown in the table below. At a 10% significance level, is there evidence that opinion on the water conservation ballot initiative depends on community membership?

Case Processing Summary
	Cases
	Valid		Missing		Total
	N	Percent	N	Percent	N	Percent
Opinion * Community	96	100.0%	0	0.0%	96	100.0%

Opinion * Community Crosstabulation
			Community			Total
			A	B	C
Opinion	Against	Count	18	7	15	40
		Expected Count	17.5	9.2	13.3	40.0
	For	Count	12	6	5	23
		Expected Count	10.1	5.3	7.7	23.0
	NoOpinion	Count	12	9	12	33
		Expected Count	14.4	7.6	11.0	33.0
Total		Count	42	22	32	96
		Expected Count	42.0	22.0	32.0	96.0

Chi-Square Tests
	Value	df	Asymptotic Significance (2-sided)
Pearson Chi-Square	2.912a	4	.573
Likelihood Ratio	3.061	4	.548
N of Valid Cases	96
0 cells (0.0%) have expected count less than 5. The minimum expected count is 5.27.

a. Type in the hypotheses. Please make sure to incorporate the problem context (i.e., do not write X and Y).

b. Type in the test statistic found from the SPSS. This is the value listed in the “Pearson Chi- Square” row under the “Value” column.

c. Type in the p-value found from the SPSS output. This is the value listed in the “Pearson Chi- Square” row under the “Asymptotic Significance (2-sided)” column.

d. Type your decision regarding the null hypothesis.
e. Type in your conclusion using the context and units from the problem.

Answer 1