Question: Assume that the binomial parameter p is to be estimated with the function X n , where X is the number of successes in n

Assume that the binomial parameter p is to be estimated with the function X n , where X is the number of successes in n independent trials. Which demands the larger sample size: requiring that X/n have a 96% probability of being within 0.05 of p, or requiring that X n have a 92% probability of being within 0.04 of p?

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