Question: Suppose that a P chart with center line at p with k-sigma control limits is used to control a process. There is a critical fraction

Suppose that a P chart with center line at p with k-sigma control limits is used to control a process. There is a critical fraction defective pc that must be detected with probability 0.50 on the first sample following the shift to this state. Derive a general formula for the sample size that should be used on this chart.

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