Reddit reviews Trick or Treatment: The Undeniable Facts about Alternative Medicine
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The most recent XKCD is actually a fantastic illustration of what is probably going on (assuming everything is on the up and up and these studies were well run). The general value for statistical significance (p less than or equal to .05) is completely and utterly arbitrary. (refer to capnrefsmmat post below). It's just a general convention that people in the medical and scientific communities are willing to accept that level of potential error. Therefore, if enough double-blind, placebo controlled trials of homeopathy are conducted, it is a certainty that some will show statistically significant results. That's why one study does not prove or disprove a treatment, a theory, whatever. Instead, you look at the evidence as a whole. And there is a MOUNTAIN of negative trials for homeopathic remedies. I apologize I don't have time to go looking for you, but you should be able to find some to throw back at the individual, plus I imagine some of our friends here in r/skeptic will have a few they can share as well. Good luck.
edit: If you can get hold of a copy, Simon Singh and Edzard Ernst's Trick or Treatment would be a great place to start formulating a rebuttal.
Messrs Ernst and Singh are a good bet:
Trick or Treatment