Question

Emanuel surveyed a random sample of 50 subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, 15 own fewer than 2 vehicles. There are 340 subscribers to Auto Wheel magazine. Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles?

PLEASE

Answer 1

The most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles is 102.

Explanation:

Consider the provided information.

A random sample of 50 subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, 15 own fewer than 2 vehicles.

We need to find the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles if there are 340 subscribers.

Here, the sample used is 50 and the population size is 340.

Now use the formula to find the reasonable estimate.

`(Part)/(Sample)=(x)/(Population)`

Substitute the respective values in the above formula as shown;

`(15)/(50)=(x)/(340)`

`(15)/(50)* 340=x`

`x=3* 34`

`x=102`

Hence, the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles is 102.