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Compute the sample size for the true proportion.

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

A. 4148
B. 2838
C. 1913
D. 744
E. 54

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