Using the z-distribution, it is found that 3,007 passengers must be surveyed.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
- is the sample proportion.
The margin of error is given by:
In this problem, we have a 90% confidence level, hence, z is the value of Z that has a p-value of , so the critical value is z = 1.645.
In this problem, we desired a margin of error of M = 0.015, with no prior estimate, hence , then we solve for n to find the minimum sample size.
n = 3007.
More can be learned about the z-distribution at brainly.com/question/25890103
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