SOLUTION: A machine produces 9 inch latex gloves. A sample of 51 gloves is selected, and it is found that 46 are shorter than they should be. Find the 98% confidence interval on the proport

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Question 269217: A machine produces 9 inch latex gloves. A sample of 51 gloves is selected, and it is found that 46 are shorter than they should be. Find the 98% 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 51 gloves is selected, and it is found that 46 are shorter than they should be.
Find the 98% confidence interval on the proportion of all such gloves that are shorter than 9 inches.
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sample proportion = 46/51 = 0.90
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standard error = E = invNorm(0.985)*sqrt[0.9*0.1/(51)] = 0.04
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98% CI: 0.9-0.04 < p < 0.9+0.04
98% CI: 0.86 < p < 0.94
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Cheers,
Stan H.