Practice question #5: The U.S. Bureau of Transportation Statistics reported in 2015 that .72 of all domestic passenger flights arrived within 15 minutes of the scheduled arrival time. We would like to come up with a confidence interval for the proportion of flights this year that arrived within 15 minutes of the scheduled arrival time with a margin of error of .04 (for a 95% confidence interval).  Find the sample size necessary for this using 0.72 as a preliminary estimate for p. Write formula. Round answer appropriately. Repeat using the conservative value of 0.5 for p. Why is it safer to use the sample size calculated in part B rather than part A?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Practice question #5: The U.S. Bureau of Transportation Statistics reported in 2015 that .72 of all domestic passenger flights arrived within 15 minutes of the scheduled arrival time. We would like to come up with a confidence interval for the proportion of flights this year that arrived within 15 minutes of the scheduled arrival time with a margin of error of .04 (for a 95% confidence interval). 

  1. Find the sample size necessary for this using 0.72 as a preliminary estimate for p. Write formula. Round answer appropriately.

  2. Repeat using the conservative value of 0.5 for p.

  3. Why is it safer to use the sample size calculated in part B rather than part A?

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