Question

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : Suppose a sample of 1496 new car buyers is drawn. Of those sampled, 478 preferred foreign over domestic cars. Using the data, construct the 90% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.

Answer 1

Explanation:

From given data,

n = 1496

x = 478

Proportion estimate ( p ) =
`(x)/(n)`

=
`(478 )/(1496)` = 0.3195 ≅ 0.31

Proportion estimate ( p ) = 0.31

∴ The proportion of new car buyers who prefer foreign cars -> 0.31