Chi-Square Test

Chi-Square Test

Name

Institution

Chi-Square Test

Research question

Is there any association between race and possession of a gun at home?

Null Hypothesis

There is no dependency between therace of the respondent and possession of a gun at home.

The dependent variable

The dependent variable is – “have a gun in home.”The categorical variable has been measured using a nominal scale using six categories. The following code has been used to input data to the SPSS software:

0=IAP

1=YES

2=NO

3=REFUSED

4=DK

9=NA

The Independent variable

The independent variable is –“race of the respondent.” The categorical variable has also been measured using a nominal scale using four categories. To input the respondent’s responses, the following code has been used:

0=IAP

1=WHITE

2=BLACK

3=OTHER

Test Results

From the results shown below in Table 1, the Pearson Chi-Square value is 83.699 with a significance level of 0.00. Since the Significance value is less than 0.05, it can be concluded that the result is significant. Thus, this study fails to reject the null hypothesis and concludes that there is dependency between therace of the respondent and possession of a gun at home.

Table 1

 Chi-Square Tests Value df Asymp. Sig. (2-sided) Pearson Chi-Square 83.699a 4 .000 Likelihood Ratio 91.736 4 .000 Linear-by-Linear Association 50.778 1 .000 N of Valid Cases 1711 a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 5.65.

The results from Table 2 below show that the Cramer’s V figure is 0.156. This means that there is aweakdependency between the two variables.

Table 2

 Symmetric Measures Value Approx. Sig. Nominal by Nominal Phi .221 .000 Cramer’s V .156 .000 N of Valid Cases 1711

Further exploration of results.

The test results showed that there is anassociation between the races of the respondents and if they have a gun at home. For instance, white people are more likely to have a gun at home as compared to black people and other races. Table 3 below shows the percentages of the respondents amongst the three races.  From the first column, it can be shown that 36.8% of white people have a gun at home as compared to 15.5% for black people and 12.8% for other races. Consequently, this study concludes that people of a certain race are more likely to have a gun at home as compared to other races.

Table 3

 RACE OF RESPONDENT * HAVE GUN IN HOME Crosstabulation HAVE GUN IN HOME Total YES NO REFUSED RACE OF RESPONDENT WHITE Count 464 753 44 1261 % within RACE OF RESPONDENT 36.8% 59.7% 3.5% 100.0% BLACK Count 42 223 6 271 % within RACE OF RESPONDENT 15.5% 82.3% 2.2% 100.0% OTHER Count 23 152 4 179 % within RACE OF RESPONDENT 12.8% 84.9% 2.2% 100.0% Total Count 529 1128 54 1711 % within RACE OF RESPONDENT 30.9% 65.9% 3.2% 100.0%