The most appropriate evidence from the text that supports the researchers' 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 because the text specifically mentions that the rate of bumblebee infections varied according to how close the bumblebees were to honeybee apiaries, particularly in the case of deformed wing virus infections. Sites closer to apiaries had higher percentages of bumblebees with the virus, while those further away had none. Hence, this response directly aligns with the researchers’ findings.