Question

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 you want to be 95​% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts​ (a) and​ (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. nequals nothing ​(Round up to the nearest​ integer.) b. Assume that a prior survey suggests that about 38​% of air passengers prefer an aisle seat. nequals nothing ​(Round up to the nearest​ integer.)

Answer 1

We have given here,

Margin of error =E=0.055
Level of significance =1-0.95=0.05
Z critical value is (by using Z table) =1.96
Sample size formula is                   

a) Preliminary estimate for proportion (Not Known) = 0.5

=317.48

Therefore, sample size approximately will be 318

b)Preliminary estimate for proportion (Known) =0.38

=299.19

Therefore, sample size approximately will be 300