I understand what you meant by your proposition, I'm not trying to ask for clarification.
I assume you have some model of TM-practitioner behavior or social networking or something which justifies your idea that there is such a threshold in that place.
I do not have any models of: how TM is practiced, and by whom; how much TM effects someone's behavior, and consequently the behavior of those they interact with; how much priming effects like signs or posters for TM groups or instruction have on the general populace; how much the spread of TM practitioners increases the spread of advertisement.
I would not be hugely surprised if it were the case that, given 1% of the population practiced TM, this produced enough advertisement to reach nearly all of the population (i.e. a sign on the side of a couple well-traveled highways) or enough social connections that everyone in a city was within one or two degrees of separation of a TM practitioner.
But I also wouldn't be surprised if the threshold was 5%, or .1%, or if there was no threshold, or if there was a threshold in rural areas but not urban areas, or conservative-leaning areas but not liberal-leaning areas, or the reverse. I have no model of how these things would go about, so I don't feel comfortable agreeing or disagreeing.
Certainly fewer than 15% of the possible functions of TM-practice vs crime are as you describe, but it is certainly far more likely that your hypothesis is true compared with the hypothesis "even one TM-practitioner makes the crime rate 100%" but I don't know if it's 5 bits more relevant or 10 bits more relevant, and I don't know what my probabilities should be even if I knew how many bits of credence I should give a hypothesis.
If you know something more than I do (which is to say, anything at all) about social networking, advertising, or the meditation itself, or the people who practice it, then you might reasonably have a good hypothesis. But I don't, so I can only take the outside view, which tells me "more people actively relaxing/being mindful/spending their time on non-crime activity should reduce crime."
I understand now.
The causally primary reason for my belief is that while I was growing up in a TM-practicing community, I was told repeatedly that there were many scientific studies published in respectable journals demonstrating this effect, and the "square root of one percent" was a specific point of doctrine.
I've had some trouble finding the articles in question on academically respectable, non-paywalled sites (though I didn't try for more than five or ten minutes), but a non-neutrally-hosted bibliography-ish thing is here.
(Is there a general ...
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Here's an irrationalist game meant to quickly collect a pool of controversial ideas for people to debate and assess. It kinda relies on people being honest and not being nitpickers, but it might be fun.
Write a comment reply to this post describing a belief you think has a reasonable chance of being true relative to the the beliefs of other Less Wrong folk. Jot down a proposition and a rough probability estimate or qualitative description, like 'fairly confident'.
Example (not my true belief): "The U.S. government was directly responsible for financing the September 11th terrorist attacks. Very confident. (~95%)."
If you post a belief, you have to vote on the beliefs of all other comments. Voting works like this: if you basically agree with the comment, vote the comment down. If you basically disagree with the comment, vote the comment up. What 'basically' means here is intuitive; instead of using a precise mathy scoring system, just make a guess. In my view, if their stated probability is 99.9% and your degree of belief is 90%, that merits an upvote: it's a pretty big difference of opinion. If they're at 99.9% and you're at 99.5%, it could go either way. If you're genuinely unsure whether or not you basically agree with them, you can pass on voting (but try not to). Vote up if you think they are either overconfident or underconfident in their belief: any disagreement is valid disagreement.
That's the spirit of the game, but some more qualifications and rules follow.
If the proposition in a comment isn't incredibly precise, use your best interpretation. If you really have to pick nits for whatever reason, say so in a comment reply.
The more upvotes you get, the more irrational Less Wrong perceives your belief to be. Which means that if you have a large amount of Less Wrong karma and can still get lots of upvotes on your crazy beliefs then you will get lots of smart people to take your weird ideas a little more seriously.
Some poor soul is going to come along and post "I believe in God". Don't pick nits and say "Well in a a Tegmark multiverse there is definitely a universe exactly like ours where some sort of god rules over us..." and downvote it. That's cheating. You better upvote the guy. For just this post, get over your desire to upvote rationality. For this game, we reward perceived irrationality.
Try to be precise in your propositions. Saying "I believe in God. 99% sure." isn't informative because we don't quite know which God you're talking about. A deist god? The Christian God? Jewish?
Y'all know this already, but just a reminder: preferences ain't beliefs. Downvote preferences disguised as beliefs. Beliefs that include the word "should" are are almost always imprecise: avoid them.
Additional rules: