Let there be successes out of Bernoulli Trials. The sample proportion is the fraction of samples which
were successes, so

(1) |

(2) | |||

(3) | |||

(4) |

where CI is the Confidence Interval and is the Erf function. The number of tries needed to determine with Relative Error RE and Confidence Interval CI is

(5) |

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1999-05-26