Research in third party aircraft maintenance department reported the results of an investigation into wiring corrosion on commercial transport aircraft that may lead to faulty overhead display information to the flight crew. Such a wiring corrosion may be detrimental to the safety of any commercial flight. Of 1600 randomly selected aircraft, 8 were found to have a certain degree of wiring corrosion that could display inconsistent information to the flight crew. Find a 99% confidence interval on the proportion of aircraft that have such wiring corrosion. Suppose that we use the information to provide preliminary estimate of . How large a sample would be required to produce an estimate of p that we are 99% confident differs from the true value by at most 0.008? a. 0.00045 ≤ p ≤ 0.00955. Required sample size is 518 to produce an estimate with 99% confidence that error would be greater than 0.008 b. 0.00154 ≤ p ≤ 0.00846. Required sample size is 299 to produce an estimate with 99% confidence that error would be less than 0.008 c. 0.00154 ≤ p ≤ 0.00846. Required sample size is 299 to produce an estimate with 99% confidence that error would be greater than 0.008 d. 0.00045 ≤ p ≤ 0.00955. Required sample size is 518 to produce an estimate with 99% confidence that error would be less than 0.008
Research in third party aircraft maintenance department reported the results of an investigation into wiring corrosion on commercial transport aircraft that may lead to faulty overhead display information to the flight crew. Such a wiring corrosion may be detrimental to the safety of any commercial flight. Of 1600 randomly selected aircraft, 8 were found to have a certain degree of wiring corrosion that could display inconsistent information to the flight crew.
Find a 99% confidence interval on the proportion of aircraft that have such wiring corrosion. Suppose that we use the information to provide preliminary estimate of . How large a sample would be required to produce an estimate of p that we are 99% confident differs from the true value by at most 0.008?
a.
0.00045 ≤ p ≤ 0.00955. Required
b.
0.00154 ≤ p ≤ 0.00846. Required sample size is 299 to produce an estimate with 99% confidence that error would be less than 0.008
c.
0.00154 ≤ p ≤ 0.00846. Required sample size is 299 to produce an estimate with 99% confidence that error would be greater than 0.008
d.
0.00045 ≤ p ≤ 0.00955. Required sample size is 518 to produce an estimate with 99% confidence that error would be less than 0.008
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