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?
(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,
The required sampl...
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