The evidence from the text that best supports the analysis of the relationship between bumblebee infections and their proximity to honeybee apiaries is:
the percentage of bumblebees infected based on their proximity to apiaries.
This option directly relates to the findings of the study mentioned in the excerpt, where they observed that more than 90 percent of bumblebees collected close to apiaries carried black queen cell virus, while just under 40 percent were positive for this virus in areas farther from the apiaries.