The best evidence from the text that 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 is highlighted by the data indicating that a higher percentage of bumblebees foraging close to apiaries carried the deformed wing virus, while none tested positive for the virus when located more than half a mile away from an apiary. This suggests a clear correlation between the presence of honeybee apiaries and the rate of infections in nearby bumblebees.