The ohio department of agriculture tested 203 fuel samples, Ask an Expert

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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 specifications and the FTC Octane posting rule). Therefore, how many samples would be needed to create a 99% confidence interval that within 0.02 of the true proportion of premium grade fuel-quality failures?

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