Polling – or any attempt at broad general information gathering – is a function of math and statistics. If the audience polled is a fair estimate (through extrapolation) of the population at large then you should get a reliable result.
Something that you may not be accounting for is margin or error. Most statistical analyses state a margin of error, which accounts for any/most/some issues that a small field might throw off.
If you see a poll that states, for example, “margin of error +/- 3-5%” then that’s a lot more reliable than a poll that states “margin of error +/- 10-15%” .
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