Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A study of the 10 largest US Domestic airlines found SouthwestAirlines to have t

ID: 2914959 • Letter: A

Question

A study of the 10 largest US Domestic airlines found SouthwestAirlines to have the lowest proportion of late arrivals at.1577. Suppose you were asked to perform a follow up studyfor Southwest Airlines in order to update the estimated proportionof late arrivals What sample size would you use in order toestimate the population proportion to within an error of:

A. +/- 0.06 with 95% confidence.
B. +/- 0.04 with 95% confidence
C. +/- 0.02 with 95% confidence.

Explanation / Answer

A. 0.06 = 1.96*[0.1577*0.8423/n] ==> n = 141.75, so use142 to be safe B. 0.04 = 1.96*[0.1577*0.8423/n] ==> n = 318.93, so use319 to be safe C. 0.02 = 1.96*[0.1577*0.8423/n] ==> n = 1275.71, so use1276 to be safe