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?

A 5% increase would imply that the number of women is only 5% more than the number of men. When calculated, this would indicate a much smaller difference than the actual count, leading to an incorrect conclusion about the percentage increase.

A 10% increase suggests that the number of women exceeds the number of men by a factor that is still too low compared to the actual difference. This calculation fails to consider the significant gap between the two figures, thus misrepresenting the relationship between the two groups.

A 15% increase would also underestimate the difference between the number of women and men. This option does not reflect the actual calculation of the percentage increase, which reveals a larger discrepancy than 15%.

An increase of 0.25 (or 25%) would imply that the number of women is significantly more than the number of men, which is not supported by the data, as the actual percentage is slightly lower at around 20%. This choice misinterprets the magnitude of the increase.