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# size - Sample Size and Population Size A large random...

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1 Sample Size and Population Size § A large random sample almost always gives an estimate that is close to the parameter. § What fundamentally matters for the variability of a statistic from a random sample is the sample size, not the population size: The variability of a statistic from a random sample does not notably depend on the size of the population. § According to Moore/McCabe, this is true, strictly speaking, as long as the population is at least 100 times larger than the sample. § According to the other “state of the art” introductory statistics book, Freedman et al.’s Statistics : “When estimating percentages, it is the absolute size of the sample which determines accuracy, not the size relative to the population. This is true if the sample is only a small part of the population, which is the usual case” (p. 367). § There is a marginal difference, which the finite population correction factor (fpc) can compensate for, if the sample is a large portion of the population: § Perhaps

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