Election analysis ~ The 2000 presidential election between Al Gore and George W. Bush was the closest presidential elect

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Election Analysis The 2000 Presidential Election Between Al Gore And George W Bush Was The Closest Presidential Elect 1 (133.26 KiB) Viewed 23 times

Election analysis ~ The 2000 presidential election between Al Gore and George W. Bush was the closest presidential election in the history of the United States. A social historian is investigating the relationship between race and voting results in that election. For a random sample of 144 counties in the state of Georgia, the historian obtains the percentage of county residents who were African American (AA), and the percentage of votes for Al Gore. Percentage AA (perAA) is the X variable and Percentage vote for Al Gore (perGore) is the Y variable in this scenario. Round all calculated answers to 4 decimal places. A linear regression model was fitted to the data using the statistical software, R. A scatter plot of the data and a summary of the model fit is given below: Georgia Presidential Votes 40 60 80 70 60 Percentage votes for Al Gore 50 40 30 20 0 20
Percentage of African Americans in County Coefficients Estimate Std Error t value Pr(> [t|) (Intercept) 0.6476 40.206 1.78e-79 26.04 0.6089 0.02162 28.165 perAA 5.46e-60 Residual standard error: 4.254 on 142 degrees of freedom Multiple R-squared: 0.8482, Adjusted R-squared: 0.8471 1. The relationship between the percentage of African American county residents, perAA, and the percentage of ballots cast for Al Gore, perGore, is best described as ??? ✓and ??? 2. Use the computer output to complete the sentence: For each additional 1 percentage point of African American county residents, perAA, there is an associated ??? ✓in the percentage of votes for Al Gore, perGore, of 3. What is the proportion of variability in the percentage of votes for Al Gore that can be explained by the linear relationship to the percentage of African American county residents? 4. What is the expected value of the percentage of votes for Al Gore when the percentage of African American county residents is 0? 5 What is the standard error value you would use to construct a confidence interval for the slope, P₁?
6. Calculate a 99% confidence interval for the slope, ₁. 7. What are the null and alternative hypotheses to test if there is a linear relationship between the percentage of African American county residents and the percentage of votes for Al Gore? OA. Ho B₁ b₁ vs. H₁ : ß₁ ‡b₁ OB. Ho: : b₁ = 0 vs. .HA: b₁ #0 ỌC. Họ : Bí = 0 vs. HA B₁ > 0 OD. Ho: P₁ = 0 vs. H₁ B₁ 0 ✓evidence 8. Based on the p-value reported on the computer output, we have ? that there ? ✓a linear relationship between the percentage of African American county residents and the percentage of votes for Al Gore. 9. 12.8953% of the residents of one county were African American. What is the estimated percentage of votes for Al Gore for this county? 10. 26.6557% of the residents from the county in part 9 actually voted for Gore. Use your calculation from part 9 to calculate the residual of this county.