The best evidence from the text that supports the analysis of a relationship between bumblebee infections and their proximity to honeybee apiaries is:
the percentage of bumblebees infected based on their proximity to apiaries.
This conclusion is supported by the specific data provided in the text regarding the varying rates of infection in bumblebees that foraged near vs. far from honeybee apiaries, specifically noting the higher rates of deformed wing virus in bumblebees close to apiaries and the lack of infections in those farther away.