# Inspection of a random sample of 27 aircraft showed that 16 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 ± 8 percent? (Enter your answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in your calculations.)  Sample size      __________        (b) Would the airline actually conduct further sampling, or just inspect all the planes?  Conduct further samplingInspect all the planes

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Inspection of a random sample of 27 aircraft showed that 16 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 ± 8 percent? (Enter your answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in your calculations.)

Sample size      __________

(b) Would the airline actually conduct further sampling, or just inspect all the planes?

• Conduct further sampling
• Inspect all the planes
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Step 1

(a) It is provided that a random sample, n of 27 aircraft showed that 16, x needed repairs to fix wiring problem. The margin of error is ±8 percent. The confidence level is 98%. Therefore, the level of significance is 1 – confidence level = 2% or 0.02.

The sample proportion is,

Step 2

The required sampl...

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