The piece of evidence from the passage that best supports the conclusion that proximity to honeybee apiaries affects the spread of deformed wing virus among bumblebees is:
"Twenty percent of bumblebees foraging close to apiaries carried the virus on their outsides and 10 percent had active infections."
This statement directly indicates the connection between the presence of honeybee apiaries and the incidence of deformed wing virus in bumblebees, highlighting that the closer bumblebees are to apiaries, the more likely they are to be infected with the virus.