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Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise safety.

(a) How large a sample would be needed to estimate the true proportion of jets with the wiring problem, with 98 percent confidence and an error of ± 6 percent? (Enter your answer as a whole number (no decimals). Use a z-value taken to three decimal places in your calculations.)

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