To determine the most appropriate procedure for obtaining a sample of the city's residents to assess their support for the removal of the university, we need to consider which sampling method would best represent the entire population of residents.
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Survey a random sample of the students and employees of the university: This method would not adequately represent the entire population of residents, as it only includes those directly associated with the university.
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Survey every tenth person to use the public restroom: This method is not random and could lead to biased results because it only targets a specific group of people (those using restrooms at a certain location), which may not represent the broader population.
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Survey the last 100 residents listed in the telephone directory: This method is also not random and may miss out on residents who are not listed in the directory or who do not have landlines.
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Survey a random sample of persons within each geographical region of the city: This method is likely the most appropriate. Stratified random sampling ensures that different regions of the city are represented, leading to a more accurate reflection of the city's residents' opinions.
Therefore, the best choice is:
Survey a random sample of persons within each geographical region of the city.