You will examine the scenario below, choose a categorical data analysis and run

Question

You will examine the scenario below, choose a categorical data analysis and run a sample test.

You wish to test whether a relationship between trust in the police and presence of democracy (measured with dichotomous variable) exists in Africa. Using Afrobarometer 2015, please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness, and include your relevant SPSS output.

Data I pulled to answer the question is below...

Table 1 Case Processing Summary

Cases

Valid

Missing

Total

N

Percent

N

Percent

N

Percent

Democracy (dichotomous) * Q59h. Trust police

47429

91.9%

4158

8.1%

51587

100.0%

Table 2 Democracy (dichotomous) * Q59h. Trust police Crosstabulation

Q59h. Trust police

Total

Not at all

Just a little

Somewhat

A lot

Democracy (dichotomous)

Not a Democracy

Count

2143

1396

1074

756

5369

% within Q59h. Trust police

20.1%

11.6%

8.6%

6.1%

11.3%

Democracy

Count

8516

10588

11370

11586

42060

% within Q59h. Trust police

79.9%

88.4%

91.4%

93.9%

88.7%

Total

Count

10659

11984

12444

12342

47429

% within Q59h. Trust police

100.0%

100.0%

100.0%

100.0%

100.0%

Table 3 Chi-Square Tests

Value

df

Asymptotic Significance (2-sided)

Pearson Chi-Square

1242.165a

3

.000

Likelihood Ratio

1173.593

3

.000

Linear-by-Linear Association

1125.520

1

.000

N of Valid Cases

47429

a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 1206.61.

Table 4 Symmetric Measures

Value

Approximate Significance

Nominal by Nominal

Phi

.162

.000

Cramer's V

.162

.000

N of Valid Cases

47429

Table 1 Case Processing Summary

Cases

Valid

Missing

Total

N

Percent

N

Percent

N

Percent

Democracy (dichotomous) * Q59h. Trust police

47429

91.9%

4158

8.1%

51587

100.0%

Explanation / Answer

Ho: democracy will not be significanty associated with trust police against

H1: democracy will be significanty associated with trust police

From the given SPSS output no expected count is <5. Therefore we consider pearson chi-square value and the corresponding 'p' value is given by

Pearson Chi-Square = 1242.165; p = 0.000 d.f. = 3

Here p<0.01. Hence we reject Ho.

i.e. there was an enough evidence that democracy was significanty associated with trust police.

For chi-square analyses, the effect sizes are phi () or Cramer’s V . Here both the values are same. So there was a small effect.

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