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  • https://stats.libretexts.org/Courses/Fresno_City_College/Math_11%3A_Elementary_Statistics/07%3A_Estimation/7.01%3A_Estimation_of_a_Population_Proportion
    We have a single formula for a confidence interval for a population proportion, which is valid when the sample is large. The condition that a sample be large is not that its size n be at least 30, but...We have a single formula for a confidence interval for a population proportion, which is valid when the sample is large. The condition that a sample be large is not that its size n be at least 30, but that the density function fit inside the interval [0,1].

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