Answer:
358 randomly selected air passengers must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is given by:
98% confidence level
So , z is the value of Z that has a pvalue of , so .
Assume that a prior survey suggests that about 22% of air passengers prefer an aisle seat.
This means that
How many randomly selected air passengers must you survey?
We need a sample of n, and n is found for which . So
Rounding up
358 randomly selected air passengers must be surveyed.