That's the title of a very interesting article at Science News, arguing that bad statistics is the dirty secret of science. I believe it is.
Though there is an entire field of physics called "statistical mechanics", the statistics there don't go beyond the 19th century. To this day, physics undergraduate and graduate programmes cover statistics minimally, or not at all. Perhaps it seems unimportant to theorists, but it is crucially important in testing hypotheses, which is what experiments claim to do. Or perhaps hypotheses in physics are sufficiently clear-cut, and experimental data sufficiently clean, that sophisticated hypothesis testing is not necessary.
In other fields, hypotheses are murky and plentiful, data are noisy and ambiguous, but the practitioners are still ignorant of statistics. When the field is medicine, and the question is of new drugs or therapies, it is a crucial matter.
Famously, Sir Roy Meadow -- creator of the discredited "Munchhausen syndrome by proxy" hypothesis -- sent several mothers to jail with his expert evidence based on bogus statistics. The consequences of bad statistics may not always be equally bad, but if the medical literature is as riddled with them as recent articles suggest, the cumulative effect may be worse than anything Meadow did.
But bad statistics in the medical literature is just the starting point: there are problems throughout the practice of standard medicine. This is why, though I respect mainstream medicine and regard much "alternative medicine" as fraudulent and the rest as of very limited (and unvalidated) applicability, I was sufficiently annoyed by this post by Orac to leave this comment. (See also other comments there on dubious practices in the health industry.) I think Orac does, in theory, a great service by pointing out peddlers of pseudoscience and exposing their ignorance and, often, fraudulence. In practice, he preaches to the converted and, I suspect, antagonises nearly everyone else.