To determine the most accurate generalization based on the statistics provided in the table, follow these steps:
1. Identify the Percentages for each Gender and Candidate:
- Men supporting Obama: [tex]\(42 \%\)[/tex]
- Men supporting Romney: [tex]\(52 \%\)[/tex]
- Women supporting Obama: [tex]\(53 \%\)[/tex]
- Women supporting Romney: [tex]\(43 \%\)[/tex]
2. Analyze Support for Obama and Romney by Gender:
- For men:
- [tex]\(42 \%\)[/tex] support Obama.
- [tex]\(52 \%\)[/tex] support Romney.
- For women:
- [tex]\(53 \%\)[/tex] support Obama.
- [tex]\(43 \%\)[/tex] support Romney.
3. Compare Support Between Men and Women:
- Support for Obama:
- Women ([tex]\(53 \%\)[/tex]) are more likely to support Obama compared to men ([tex]\(42 \%\)[/tex]).
- Support for Romney:
- Men ([tex]\(52 \%\)[/tex]) are more likely to support Romney compared to women ([tex]\(43 \%\)[/tex]).
4. Evaluate the Generalizations:
- "Women are more likely than men to support Democrats (Obama)."
- True, because [tex]\(53 \%\)[/tex] of women support Obama versus [tex]\(42 \%\)[/tex] of men.
- "Women are more likely than men to support Republicans (Romney)."
- False, because [tex]\(43 \%\)[/tex] of women support Romney versus [tex]\(52 \%\)[/tex] of men.
- "Men voted in higher numbers than women."
- Not relevant to the given percentages, as the table does not provide total numbers, only percentages.
- "Men are more likely than women to support Democrats (Obama)."
- False, as [tex]\(42 \%\)[/tex] of men support Obama compared to [tex]\(53 \%\)[/tex] of women.
Based on the analysis, the generalization that is most accurate is:
- "Women are more likely than men to support Democrats (Obama)."
