SOLUTION: A machine produces 9 inch latex gloves. A sample of 15 gloves is selected, and it is found that 8 are shorter than they should be. Find the 99% confidence interval on the proporti

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Question 250042: A machine produces 9 inch latex gloves. A sample of 15 gloves is selected, and it is found that 8 are shorter than they should be. Find the 99% confidence interval on the proportion of all such gloves that are shorter than 9 inches.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A machine produces 9 inch latex gloves. A sample of 15 gloves is selected, and it is found that 8 are shorter than they should be.
Find the 99% confidence interval on the proportion of all such gloves that are shorter than 9 inches.
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p-hat = 8/15 = 0.5333
standard error = invT(0.005,df=14)*sqrt(0.5333*0.4667/15)
= 2.9768*sqrt(0.0166)
= 0.3834
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99%CI: 0.5333-0.3834 < p < 0.5333+0.3834
99%CI: 0.1499 < p < 0.9167
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Cheers,
Stan H.