You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey ? Assume that a prior survey suggests that about 73% of air passengers prefer an aisle seat. Assume that you want to be 97% confident that the sample percentage is within 2.5 percentage points of the true population percentage.
Solution:
Given,
E = 0.025
c = 97% = 0.97
or p = 73% = 0.73
1 - 1- p = 1 - 0.73 = 0.27
Now,
= 1 - c = 1 - 0.97 = 0.03
/2 = 0.015
= 2.17 (using z table)
The sample size for estimating the proportion is given by
n =
= (2.17)2 * 0.73 * 0.27 / (0.0252)
= 1484.9987
= 1485 ..(round to the next whole number)
Answer : Required Sample size is n = 1485
1485 randomly selected air passengers must you survey.
You are the operations manager for an airline and you are considering a higher fare level...
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