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Why is the sample size needed to determine the proportion smaller when the population proportion is 0.20 than when the population proportion is 0.50?A survey

Why is the sample size needed to determine the proportion smaller when the population proportion is 0.20 than when the population proportion is 0.50?A survey by a national association is designed to estimate the proportion of member organizations that have both talent and development programs in place to drive human-capital management as well as the member organizations' mean annual employee turnover cost. A random sample of 100 member organizations reveals the following: Frontline employee turnover cost: Upper X overbarequals$12 comma 900, Sequals$1800. Twenty dash five member organizations have both talent and development programs in place to drive human-capital management. Construct a 95% confidence interval estimate for the population mean frontline employee turnover cost of member organizations

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