large North Texas company bought a new business unit to deliver parcels between its 15 North Texas facilities. These parcels included mail, small manufactured parts, internal documents, packages, etc. The company wishes to monitor the accuracy of deliveries (i.e., getting the right package to the right location), but keeping records of every delivery was judged to be too expensive. Management therefore decided to randomly sample parcel deliveries (usually by auditors at each site's mail drop) in order to estimate true delivery accuracy. The resulting random sample of 8717 total parcels found that only 69 were delivered in error (i.e., not accurately).
A large North Texas company bought a new business unit to deliver parcels between its 15 North Texas facilities. These parcels included mail, small manufactured parts, internal documents, packages, etc. The company wishes to monitor the accuracy of deliveries (i.e., getting the right package to the right location), but keeping records of every delivery was judged to be too expensive. Management therefore decided to randomly sample parcel deliveries (usually by auditors at each site's mail drop) in order to estimate true delivery accuracy. The resulting random sample of 8717 total parcels found that only 69 were delivered in error (i.e., not accurately).
(i). What is the sample proportion of parcels that are delivered accurately? Show your work.
(ii). Calculate a 95% confidence interval for the true population proportion of parcels that are delivered accurately. Show your work.
(iii). Write a two-sentence conclusion for the results of the confidence interval calculations.
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