One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that 12% of non-electrical components are reworked. Management wants to determine if this percentage is the same as the percentage rework for electrical components manufactured by the entire company. The Quality Control Department plans to check a random sample of the over 10 000 electrical components manufactured across all divisions.

A The Quality Control Department wants to estimate the true percentage of rework for electrical components to within 4%, with 99% confidence. How many components should managers sample?

B They actually selected a random sample of 450 electrical components and found that 46 of those had to be reworked. Create the confidence interval.

C Interpret the confidence interval in this context.

D Explain what 99% confidence means in this context