question archive (a) Porcelain cups produced by a company are boxed

(a) Porcelain cups produced by a company are boxed

Subject:StatisticsPrice: Bought3

(a) Porcelain cups produced by a company are boxed. In order to estimate the defective rate of the glasses in the boxes, 400 boxes were examined and 100 were found to be defective. Construct the confidence interval for the defective rate at the 0.05 significance level.

(b) The firm decided that the range in the option a is too wide and it is necessary to examine more boxes to solve this problem. If we increased the number of boxes examined and analyzed the number of defects in glasses again, and assuming that they found the satisfaction rate of 25%, at least how many boxes should be examined so that the confidence interval is at most 5%? (significance level is 5%)

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