Nornagest comments on Amanda Knox: post mortem - Less Wrong
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Comments (483)
Well, people's intuitions about justice aren't all that consistent, so I don't think this particular moral question is going to suddenly become clear to all observers no matter how it's stated. That being said, though, I don't think we have any particular reason to think that Guede was convicted on unusually shaky evidence, so it seems reasonable -- given certain assumptions -- to take our estimates of his case as representative of murder cases in general.
A 13% innocence threshold for each particular case won't give you a 13% innocent prison population (assuming good estimates, which is probably generous in this context), but if we adopt that criterion and Guede's in the middle of the probability distribution for murder defendants, it seems likely that the resulting population-level incidence would still land on the bad side of 8 or 10%. Which doesn't look much better.
By the way, I should probably clarify that I don't think the LW average of 87% probability of guilt for Guede at all means that he should have been acquitted. I attribute the low number to a lack of confidence due to not having delved sufficiently deeply into the case, as per the third point in my earlier comment.
One should only believe that a miscarriage of justice has occurred in his case if one believes that the jury should not have had more than (say) 87% confidence. But in order to believe that one would presumably have to be highly confident in one's belief about what information the jury had.
I agree, for reasons outlined here. Like you, I'm speaking hypothetically.