In designing a fraction nonconforming chart with center line at p = 0.20 and three-sigma control limits,

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In designing a fraction nonconforming chart with center line at p = 0.20 and three-sigma control limits, what is the sample size required to yield a positive lower control limit? What is the value of n necessary to give a probability of 0.50 of detecting a shift in the process to 0.26?
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