Question

To estimate the number of people in Springfield with swimming pools, 250 people were interviewed out of a population of 10,000. Of those polled, 60 had a swimming pool. How many people in the city might one expect to have a swimming pool? (Round to the nearest whole number, if necessary.)

a) 41,667 people
b) 2400 people
c) 2 people
d) 240 people

Answer 1

Using a proportion based on the sample data where 60 out of 250 people have swimming pools, one might estimate that approximately 2400 out of 10,000 people in Springfield have a swimming pool.

Step-by-step explanation:

To estimate the number of people in Springfield with swimming pools, if 250 people were interviewed out of a population of 10,000 and 60 of those polled had a swimming pool, we would use proportion to find the estimate for the entire population. The proportion of people with pools in the sample is:

60 people with pools / 250 people polled = x people with pools / 10,000 people total

By solving for x, we find that x represents the estimated total number of people with pools in Springfield. Using cross multiplication:

60/250 = x/10,000
x = (60/250) * 10,000
x = 2400 people

Therefore, one might expect approximately 2400 people in Springfield to have a swimming pool.