Defective electronics:A team of designers was given the task of reducing the defect rate in the manufacture of a certain printed circuit board. The team decided to reconfigure the cooling system. A total of981 boards were produced the week before the reconfiguration was implemented, and255 of these were defective. A total of854boards were produced the week after reconfiguration, and176of these were defective.

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(a) Construct a95% confidence interval for the decrease in the defective rate after the reconfiguration. Use the TI-84 Plus calculator and round the answers to three decimal places. A95% confidence interval for the decrease in the defective rate after the reconfiguration is

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