A glass tube is designed to withstand a pressure differential of 1.1 atmospheres. In testing, it was

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A glass tube is designed to withstand a pressure differential of 1.1 atmospheres. In testing, it was found that 12 out of 20 tubes could in fact withstand a pressure differential of 1.5 atmospheres. Calculate a two-sided 95% confidence interval for the probability that a tube can withstand a pressure differential of 1.5 atmospheres.
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