A random sample of 205 people in a town was surveyed about the kind of pet they owned. 43 of the people in the survey said that they own a dog. The total population of the town is 10,250 people. What would be a reasonable prediction of the number of people in the total population that own a dog?
43 / 205 = x / 10250
Amount of people with a dog and surveyed devided by the surveyed amount of people must equal
The total amount of dogs devided by the total amount of people
10250 * 34 / 205 = 2150
Answer:
The reasonable prediction is 2150 people.
Step-by-step explanation:
A random sample of 205 people in a town was surveyed about the kind of pet they owned.
43 of the people in the survey said that they own a dog.
The total population of the town is 10,250 people.
Let there be x people who has digs out of the total population.
So, the relation forms;
\(\frac{43}{205} =\frac{x}{10250}\)
=> \(205x=10250\times43\)
=> \(x=\frac{10250\times43}{205}\)
x = 2150
Hence,the reasonable prediction of the number of people in the total population that own a dog is 2150.