Problem No.4 A certain process for manufacturing integrated circuits has been in

Question

Problem No.4 A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that 12% of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of 100 circuits produced by the new process, 12 were defective. Justify your answers to the following questions. 1) One of the engineers suggests that the test proves that the new process is no better than the old process, since the proportion of defectives in the sample 2) Assume that there had been only 11 defective circuits in the sample of 100. ) Which outcome represents stronger evidence that the new process is better: is the same. Is this conclusion justified? Explain. Would this have proven that the new process is better? Explain. finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?

Explanation / Answer

1) No, because the exact propotion of defective circuits produced by the new process is not given. we can only assume that proportion of defective circuits produced be new process will be less than 12%. We cannot say surely about the less than 12%, equal to 12% or more than 12% proportion defectives , therefore we cannot say that new process is better than the old process

2)  No, the sample proportion 11% gives no reason to conclude that the proportion of defective circuits produced by the new process is less than 12% and that the new process is better than the old one.

3) finding 2 defective circuits in the sample represents stronger evidence that the new process is better.

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