Republican Democrat Other Total Test Statistics Chi-Square df affiliation Observed N Expected N 25 26.3 30 33.0 20 15.8 75 Asymp. Sig. affiliation 1.479ª a. 0 cells (0.0%) 2 .477 have expected frequencies less than 5. The minimum expected cell frequency is 15.8. Residual -1.3 -3.0 4.3

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Based on the scenario and the data output, I would like to confirm that we would reject the null hypothesis and if so does that indicate non-signifigant or significant when relating to a CHI-Square statistical test? Thank you  

Scenario: 

In the recent COVID-19 pandemic, a local precinct observed that of the 75 people who voted, 25 identified as republican, 30 were democrat, and 20 were “other”. Is this similar to pre-pandemic voting based on political party affiliations? At that same precinct, pre-pandemic voting based on political party affiliation was: 35%  republican, 44%  democrats, and 21% “other”. Enter in the 75 data points and expected values into SPSS to conduct the appropriate statistical test.

**Affiliation Table**

| Affiliation   | Observed N | Expected N | Residual |
|---------------|------------|------------|----------|
| Republican    | 25         | 26.3       | -1.3     |
| Democrat      | 30         | 33.0       | -3.0     |
| Other         | 20         | 15.8       | 4.3      |
| **Total**     | **75**     |            |          |

**Test Statistics**

- **Chi-Square**: 1.479
- **Degrees of Freedom (df)**: 2
- **Asymptotic Significance (Asymp. Sig.)**: 0.477

**Notes**:
- 0 cells (0.0%) have expected frequencies less than 5. 
- The minimum expected cell frequency is 15.8.

This table and test statistics are part of a chi-square test evaluating the affiliation of a sample. The categories include Republican, Democrat, and Other, showing observed numbers versus expected numbers. Residuals indicate the difference between observed and expected counts. The chi-square statistic measures the overall difference, with degrees of freedom and significance level providing insight into the statistical relevance of the affiliations.
Transcribed Image Text:**Affiliation Table** | Affiliation | Observed N | Expected N | Residual | |---------------|------------|------------|----------| | Republican | 25 | 26.3 | -1.3 | | Democrat | 30 | 33.0 | -3.0 | | Other | 20 | 15.8 | 4.3 | | **Total** | **75** | | | **Test Statistics** - **Chi-Square**: 1.479 - **Degrees of Freedom (df)**: 2 - **Asymptotic Significance (Asymp. Sig.)**: 0.477 **Notes**: - 0 cells (0.0%) have expected frequencies less than 5. - The minimum expected cell frequency is 15.8. This table and test statistics are part of a chi-square test evaluating the affiliation of a sample. The categories include Republican, Democrat, and Other, showing observed numbers versus expected numbers. Residuals indicate the difference between observed and expected counts. The chi-square statistic measures the overall difference, with degrees of freedom and significance level providing insight into the statistical relevance of the affiliations.
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