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Over the years I've done like eighty billion twitter polls and also a metric poopton of surveys with huge Ns where i stare at correlations a ton. I've developed my own personal intuition for correlation strengths; idk if it's "scientific" but the way I tend to look at things:
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For your 4 choice polls, you should be doing a 2-prop z test. This will give you a z score, which is then converted to a p-value, which can be interpreted as “if these two populations were actually the same, this is the probability I would’ve seen results as extreme as these.”
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