Math Solutions

[Solution] One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that 15% of non-electrical

Question: One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that 15% of non-electrical components are reworked. Management is questioning this and selected a simple random sample of 450 electrical components. It found that 46 of them had to be reworked.

  1. Find a 99% confidence interval for the proportion of electrical components that need to
    be reworked. (10 pts)
  2. Is the division’s report consistent with this estimate? Answer the two questions by

answering TRUE or FALSE in each case. (2.5 pts each)

TRUE or FALSE: The division’s report of 15% is inside the confidence interval.

TRUE or FALSE: Therefore, the division’s report is consistent with expectations.

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