Among my friends and coworkers, those who tend to eat more organic food also do a lot more physical activity/exercise than those who don't. This smells like correlation.
Even after these adjustments, the most frequent consumers of organic food had 76 percent fewer lymphomas, with 86 percent fewer non-Hodgkin’s lymphomas, and a 34 percent reduction in breast cancers that develop after menopause.
Granted, it could be that these socio-economic factors weren't adequately corrected for, but they did at least attempt to.