SOLUTION: A local news team wants to estimate the number of people in a town of population 16,000, who have the Ring security system. They interview 250 homes. Of those polled, 116 had a R
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Question 1139070: A local news team wants to estimate the number of people in a town of population 16,000, who have the Ring security system. They interview 250 homes. Of those polled, 116 had a Ring security system. How many homes in the city might one expect to have the security system? Round to the nearest whole number, if necessary.
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
116/250 * 16000 = 7424.
if the sample is a truly random sample of the homes in the population, then it is reasonable to expect that the proportion of homes that have a ring security system in the sample will be pretty close to the proportion of home that have a ring security system in the population.
116/250 = .464.
.464 * 16000 = 7424 plus or minus some number to account for the possibility of sampling error.
Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.
See the classic problem of the same type in the lesson
- Using proportions to estimate the number of fish in a lake
in this site.
When you read this lesson, you will not miss this kind of problems with anything else.
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