The probability that a medical treatment is effective is 0.68, unknown to a researcher. In an experiment

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The probability that a medical treatment is effective is 0.68, unknown to a researcher. In an experiment to investigate the effectiveness of the treatment, the researcher applies the treatment in 140 cases and measures whether the treatment is effective or not. What is the probability that the researcher's estimate of the probability that the medical treatment is effective is within 0.05 of the correct answer?
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