A political scientist wanted to learn whether there is an association between the education level of...

A political scientist wanted to learn whether there is an association between the education level of registered voters and his or her political party affiliation. He randomly selected 46 registered voters and ran a Chi-square test of Independence and Homogeneity in SPSS. The following is the test result from SPSS:

*Education Party Crosstabulation**
			Party		Total
			Democrat	Republican	Total
Education	College	Count	9	12	21
	College	Expected Count	11.9	9.1	21.0
	Grade School	Count	7	2	9
	Grade School	Expected Count	5.1	3.9	9.0
	High School	Count	10	6	16
	High School	Expected Count	9.0	7.0	16.0
Total		Count	26	20	46
Total		Expected Count	26.0	20.0	46.0

Chi-Square Tests
	Value	df	Asymp. Sig. (2-sided)
Pearson Chi-Square	3.483^a	2	.175
Likelihood Ratio	3.598	2	.165
N of Valid Cases	46
a. 1 cells (16.7%) have expected count less than 5. The minimum expected count is 3.91.

Read the SPSS output charts, state the test statistic, and the p-value

	a.	Test statistic , P-value=0.0875
	b.	Test statistic , P-value=0.0825
	c.	Test statistic , P-value=0.175
	d.	Test statistic , P-value=0.165
	e.	None of the above

Solutions

Expert Solution

we have the following SPSS output of chi square

*Education Party Crosstabulation**
	Party	Total
Democrat	Republican
Education	College	Count	9	12	21
Expected Count	11.9	9.1	21.0
Grade School	Count	7	2	9
Expected Count	5.1	3.9	9.0
High School	Count	10	6	16
Expected Count	9.0	7.0	16.0
Total	Count	26	20	46
Expected Count	26.0	20.0	46.0

Chi-Square Tests
	Value	df	Asymp. Sig. (2-sided)
Pearson Chi-Square	3.483a	2	.175
Likelihood Ratio	3.598	2	.165
N of Valid Cases	46
a. 1 cells (16.7%) have expected count less than 5. The minimum expected count is 3.91.

Read the SPSS output charts, state the test statistic, and the p-value

Test statistic 3.483 , P-value=0.0875

orchestra answered 1 year ago

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