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):
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.