A magazine reported that a study commissioned by eBay motors found that nearly 40% of millennials who drive a car that is more than 5 years old have named their cars. Suppose that this statement was based on a sample of size 800 and that 315 reported that they had named their car.
Assuming that the sample was selected to be representative of the population of millennials who drive a car that is more than 5 years old, calculate a 90% confidence interval for the proportion of all millennials who drive a car that is more than 5 years old who have named their cars. (Round your answers to three decimal places.)
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