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A process for manufacturing an electronic component is 1% defective. A quality control plan is to select 100 items from the process, and if none are defective, the process continues. Use the normal approximation to the binomial to find
(a) The probability that the process continues for the sampling plan described;
(b) The probability that the process continues even if the process has gone bad (i.e., if the frequency of defective components has shifted to 5.0% defective).
Both intervals were calculated from the same sample data. The confidence level for one of these intervals is 90% and for the other is 99%. Which of the intervals has the 90% confidence level, and why?
The required margin of error around the population p. Margin of error: 0.09; confidence level: 95%; from a prior study, p is estimated by the decimal equivalent of 87%.
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