Answer:
The most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles is 102.
Step-by-step 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.
![\frac{Part}{Sample}=\frac{x}{Population}](https://tex.z-dn.net/?f=%5Cfrac%7BPart%7D%7BSample%7D%3D%5Cfrac%7Bx%7D%7BPopulation%7D)
Substitute the respective values in the above formula as shown;
![\frac{15}{50}=\frac{x}{340}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B50%7D%3D%5Cfrac%7Bx%7D%7B340%7D)
![\frac{15}{50}\times 340=x](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B50%7D%5Ctimes%20340%3Dx)
![x=3\times 34](https://tex.z-dn.net/?f=x%3D3%5Ctimes%2034)
![x=102](https://tex.z-dn.net/?f=x%3D102)
Hence, the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles is 102.