Testing for Bivariate Categorical Analysis

1.       Presence of democracy and trust in police are two variables whose relationship we test using chi-square test:

Null hypothesis: Presence of democracy and trust in police are not related.

Alternate hypothesis: Presence of democracy and trust in police are related.

 

 

Q42. Extent of democracy

 

Observed N

Expected N

Residual

Not a democracy

5452

12026.0

-6574.0

A democracy, with major problems

15200

12026.0

3174.0

A democracy, but with minor problems

18013

12026.0

5987.0

A full democracy

9439

12026.0

-2587.0

Total

48104

 

 

 

 

Q59h. Trust police

 

Observed N

Expected N

Residual

Not at all

11257

12621.2

-1364.2

Just a little

12620

12621.2

-1.2

Somewhat

13280

12621.2

658.8

A lot

13328

12621.2

706.8

Total

50485

 

 

 

 

Test Statistics

 

Q42. Extent of democracy

Q59h. Trust police

Chi-Square

7968.443a

221.422b

df

3

3

Asymp. Sig.

.000

.000

a. 0 cells (.0%) have expected frequencies less than 5. The minimum expected cell frequency is 12026.0.

b. 0 cells (.0%) have expected frequencies less than 5. The minimum expected cell frequency is 12621.3.

 

 

Since p-value for chi-square test is less than 0.05 level of significance, we reject null hypothesis. Thus we say presence of democracy and trust in police are related.

 

2.       Region and trust in police are two variables whose relationship we test using chi-square test:

Null hypothesis: Region and trust in police are not related.

Alternate hypothesis: Region and trust in police are related.

 

 

Q59h. Trust police

 

Observed N

Expected N

Residual

Not at all

11257

12621.2

-1364.2

Just a little

12620

12621.2

-1.2

Somewhat

13280

12621.2

658.8

A lot

13328

12621.2

706.8

Total

50485

 

 

 

 

Urban or Rural Primary Sampling Unit

 

Observed N

Expected N

Residual

Urban

19907

17195.7

2711.3

Rural

30993

17195.7

13797.3

Semi-Urban

687

17195.7

-16508.7

Total

51587

 

 

 

 

Test Statistics

 

Q59h. Trust police

Urban or Rural Primary Sampling Unit

Chi-Square

221.422a

27347.228b

df

3

2

Asymp. Sig.

.000

.000

a. 0 cells (.0%) have expected frequencies less than 5. The minimum expected cell frequency is 12621.3.

b. 0 cells (.0%) have expected frequencies less than 5. The minimum expected cell frequency is 17195.7.

 

 

Since p-value for chi-square test is less than 0.05 level of significance, we reject null hypothesis. Thus we say region and trust in police are related.

 

3.       Extent of democracy and current economics condition are two variables whose relationship we test using chi-square test:

Null hypothesis: Extent of democracy and current economics condition are not related.

Alternate hypothesis: Extent of democracy and current economics condition are related.

 

 

Q3a. Country's present economic condition

 

Observed N

Expected N

Residual

Very Bad

13314

10145.4

3168.6

Fairly bad

14882

10145.4

4736.6

Neither good nor bad

8143

10145.4

-2002.4

Fairly good

12079

10145.4

1933.6

Very good

2309

10145.4

-7836.4

Total

50727

 

 

 

 

Q42. Extent of democracy

 

Observed N

Expected N

Residual

Not a democracy

5452

12026.0

-6574.0

A democracy, with major problems

15200

12026.0

3174.0

A democracy, but with minor problems

18013

12026.0

5987.0

A full democracy

9439

12026.0

-2587.0

Total

48104

 

 

 

 

Test Statistics

 

Q3a. Country's present economic condition

Q42. Extent of democracy

Chi-Square

10017.642a

7968.443b

df

4

3

Asymp. Sig.

.000

.000

a. 0 cells (.0%) have expected frequencies less than 5. The minimum expected cell frequency is 10145.4.

b. 0 cells (.0%) have expected frequencies less than 5. The minimum expected cell frequency is 12026.0.

 

 

 

 

 

 

Since p-value for chi-square test is less than 0.05 level of significance, we reject null hypothesis. Thus we say Extent of democracy and current economics condition are related.

 

Conclusion:

Hence we say that democracy and region both effect trust in police and also economic conditions may indirectly reflect trust on police since they are related to democracy.

Field of study: 
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