To find the sample size for the true proportion

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To find the sample size for the true proportion. 

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. For premium grade, 14 out of 105 samples failed (they didn't meet ASTM specification and the FTC Octane posting rule). How many samples would be needed to create a 99 percent confidence interval that is within 0.02 of true proportion of premium grade fuel-quality failures? 

A. 4148
B. 2838
C. 1913
D. 744
E. 54

Reference no: EM1319146

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