The assumption of independent trials in a binomial distribution is not a great concern if the sample size is smaller than 1/20 of the population size.

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The assumption of independent trials is not a great concern if the sample size is smaller than 1/20 of the population size because the probability of selecting the same individual twice is low. This is known as the "finite population correction factor." However, if the sample size is larger than 1/20 of the population size, the assumption of independent trials may not hold, and alternative statistical methods may be necessary.

The Assumption of Independent Trials in a Binomial Distribution Is