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Minimum Sample Size for Confidence

Imagine the click-through rate for ads on Meta/Facebook is represented by P. If we take a sample of size N and analyze the sample's conversion rate, noted as P^, what is the smallest sample size N required so that the probability that the absolute difference between P^ and P is less than δ is 95%? Essentially, determine the minimum sample size N needed to ensure our sample estimate P^ is within δ of the actual click-through rate P, with a confidence level of 95%.

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