18. In a study, researchers gathered data on 3,829 men and 4,580 women. The number of women in the study was approximately what percent greater than the number of men in the study?
Answer: D
The number of women in the study was approximately 20% greater than the number of men in the study.
To determine the percentage difference between the number of women and men in the study, we find that the number of women (4,580) is approximately 20% greater than the number of men (3,829).
A) 5%
Option A is incorrect because a 5% increase would imply that the number of women is only slightly higher than the number of men. The actual difference calculated shows a much larger percentage increase.
B) 10%
Option B is also incorrect as a 10% increase would indicate that the number of women is only moderately greater than the number of men. The data indicates a significantly larger difference.
C) 15%
Option C is incorrect because a 15% increase does not accurately represent the difference between the two groups. The calculation shows that the number of women exceeds the number of men by a larger margin than 15%.
D) 20%
Option D is correct. The calculation shows that the difference between the number of women (4,580) and men (3,829) corresponds to a 20% increase, making this option the accurate representation of the data.
E) 0.25
Option E is incorrect as it represents a very small fraction that does not align with the percentage increase calculated from the data provided.
Conclusion
The correct answer is D because the calculation confirms that the number of women is approximately 20% greater than the number of men in the study. All other options underestimate the percentage increase, failing to match the actual data analysis. Thus, D is the only option that accurately reflects the relationship between the two groups.