Question

In: Statistics and Probability

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

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

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

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

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

a.

Test statistic 3.483 , P-value=0.0875


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