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Population size has hardly any effect on the margin of error. You should do a bit more research on how statistics work.
At 95% confidence level a sample size of 300 has a 6% margin of error for a population size of 142 million
https://www.surveymonkey.com/mp/marg...or-calculator/
Also that 6% margin of error doesn't mean it's an equal chance the margin will be 6% as opposed to zero or 1 percent. A zero or 1% is much more likely than a 6%
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