Concept explainers
The government of a large city wants to know if its citizens will support a three-year tax increase to provide additional support to the city's community college system. The government decides to conduct a survey of the city's residents before placing a tax increase initiative on the ballot. Which one of the following is most appropriate for obtaining a sample of the city's residents?
a. Survey a random sample of persons within each geographic region of the city.
b. Survey a random sample of community college professors living in the city.
c. Survey every tenth person who walks into the city's government center on two randomly selected days of the week.
d. Survey a random sample of persons within each geographic region of the state in which the city is located.
Answer to Problem 1RE
Solution:
Surveying a random sample of persons within each geographic region of the city will be the correct method. Therefore, option a; is correct.
Explanation of Solution
Given:
The government of a city is keen to know if the people of the city give go ahead to the increase in tax for three year period for the improvement of college system in the city. The options are given as follows:
Option (a) is given as surveying a random sample of the people who live in each geographical area of the city to be considered.
Option (b) is given as surveying a random sample of professors of the community college.
Option (c) is given as surveying every tenth person that comes to the City Centre on any two random days.
Option (d) is given as surveying the random sample of each geographical region of the state where the said city is there.
Explanation:
To give a general statement about a population, every element of that population should have the same chance of getting selected in the sample as any other element. Random sampling is a way to achieve the equal chance to everyone in the population.
Surveying a random sample of people from different geographical regions of the city will show how the people from all over the city will respond to the tax increase.
Option (a) is given as surveying a random sample of the people who live in each geographical areaof the city to be considered.
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