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Btw, you can run into problems when the samples are genuinely too small. But this is statistically easy to ascertain. It becomes a major problem in social scientific experiments when you have studies based on 20-50 people. Reputable polling organizations, by contrast, use as standard procedure sample sizes that are way over the statistical baselines, and have a defined scope of error for sample size that is very very small. They know math and they follow basic rules when they conduct these things.