Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing intraocular lenses used in the human eye following cataract surgery. From previous record, lenses using the first-type polishing solution with no defect is 50% while lenses using the second-type polishing solution with no defect is 40%. Three hundred lenses were tumble-polished using the first polishing solution and of this number, 240 had no polishing-induced defects. Another 300 lenses were tumble-polished using the second polishing solution, and 180 lenses were satisfactory upon completion. Construct a 98% confidence interval on the population proportion of no defect by using first polishing solution. Interpret your answer in (a). Is there any reason to believe that the first polishing solution is better than the second polishing solution at least by 10%?

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing intraocular lenses used in the human eye following cataract surgery. From previous record, lenses using the first-type polishing solution with no defect is 50% while lenses using the second-type polishing solution with no defect is 40%. Three hundred lenses were tumble-polished using the first polishing solution and of this number, 240 had no polishing-induced defects. Another 300 lenses were tumble-polished using the second polishing solution, and 180 lenses were satisfactory upon completion. Construct a 98% confidence interval on the population proportion of no defect by using first polishing solution. Interpret your answer in (a). Is there any reason to believe that the first polishing solution is better than the second polishing solution at least by 10%?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Two different types of polishing solutions are being evaluated for possible
use in a tumble-polish operation for manufacturing intraocular lenses
used in the human eye following cataract surgery. From previous record,
lenses using the first-type polishing solution with no defect is 50% while
lenses using the second-type polishing solution with no defect is 40%.
Three hundred lenses were tumble-polished using the first polishing
solution and of this number, 240 had no polishing-induced defects.
Another 300 lenses were tumble-polished using the second polishing
solution, and 180 lenses were satisfactory upon completion.
Construct a 98% confidence interval on the population proportion of no
defect by using first polishing solution.
b. Interpret your answer in (a).
Is there any reason to believe that the first polishing solution is better
than the second polishing solution at least by 10%?
C.

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