Question

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 1 of 2: Suppose a sample of 822 new car buyers is drawn. Of those sampled, 205 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer 1

0.249 is the required proportion.

Explanation:

We are given the following in the question:

Sample size, n = 822

Number of people who preferred foreign cars over domestic, x = 205

We have to find the proportion of new car buyers who prefer foreign cars.

Formula:

`\hat{p} = (x)/(n)`

Putting values, we get,

`\hat{p} = (205)/(822)\\\\\hat{p} = 0.249`

Thus, 0.249 is the proportion of the new car buyers who preferred foreign over domestic cars..