A campaign was designed to convince car owners that they should fill their tires with nitrogen instead of air. At a cost of about $5 per tire, nitrogen supposedly has the advantage of leaking at a...

A campaign was designed to convince car owners that they should fill their tires
with nitrogen instead of air. At a cost of about $5 per tire, nitrogen supposedly
has the advantage of leaking at a much slower rate than air, so that the ideal
tire pressure can be maintained more consistently. Before spending huge sums
to advertise nitrogen, it would be wise to conduct a survey to determine the
percentage of car owners who would pay for the nitrogen. How many randomly

selected car owners should be surveyed? Assume that we want to be 95%
confident that the sample percentage is within three percentage points of the true

percentage of all car owners who would be willing to pay for the nitrogen.