In science, we generally decide in advance that an experimental observation is significant when it is unlikely to occur by mere chance less than one time in twenty observations. Thus, the P<0.05 rule that frustrates us when P=0.051, and the next repeat of an experiment shifts it to P=0.1. The next experiment will probably push P to 0.2, because the first couple of repetitions were total flukes.
So, what kind of change in public perceptions of quackery is significant? I'd guess that if 75% of people agreed that something as stupid as homeopathy is in fact stupid, you'd be onto a win. Recent experiences with my supposedly clever students (via @DrAust_PhD) suggest that this is about the best that can be achieved, even with fairly intensive, didactic instruction.
So, if 45% of people have resorted to CAM, and of them only 18% of people have used homeopathy, hasn't the battle on that front pretty much been won?
Or, should we be aiming for a reduction of total CAM usage down to 25% or less?
Feel free to argue the toss.
See the Wellcome Monitor, again, for the numbers.
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