http://en.wikipedia.org/wiki/Placebo
Why would anyone choose to ingest powerful pharmaceuticals if they could experience significant improvements simply by believing that homeopathy works?
Even when you take advil for a headache, some/all of the effect may just be the placebo effect.
note: placebos are used by many modern doctors who write prescriptions for a drug called "Obecalp" routinely to harness the placebo effect:
http://www.nytimes.com/2008/05/27/health/27plac.html
The human mind/body healing process is too complex to dismiss placebos offhand.