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Quality control staff wish to estimate what proportion p of the resistors made in their factory are being scrapped due to defects. They observe

 

Quality control staff wish to estimate what proportion p of the resistors made in their factory are being scrapped due to defects. They observe a random sample of n = 750 resistors from the production line and calculate the sample proportion of scrapped resistors to be p = 0.016. Use this information and the statistical tables to determine an approximate range a such that the sample proportion p from a sample of this size will lie within a of p with confidence level 99%, that is, such that Pr(|pp| < a) = 0.99.

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