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Question about Census and Sample Research

Mathematics

Originais Teachy

Census and Sample Research

Medium

(Originais Teachy 2024) - Question Medium of Mathematics

During an interdisciplinary class that addressed notions of statistics and geography, 7th-grade students were challenged to plan a survey to determine the most used means of transportation by the inhabitants of their city on the daily route from home to school. Considering the acquired knowledge about census and sample surveys, the students thought about conducting an exhaustive count in a total of 40 blocks in a central region of the city, where both low-income families, who usually use public transportation, and high-income families, who tend to use private vehicles, reside. Based on the study's guidelines, the students decided that the survey should be representative and capable of offering results that could be generalized to the entire population of the city without the need to cover all its inhabitants. In this scenario, which type of survey (census or sample) should the students choose to achieve their objectives and why?
a.
The students should conduct a simple sample survey, which consists of the random selection of inhabitants from the 40 blocks, without considering the proportion of different social and economic groups.
b.
The students should opt for a census survey, as this way they could obtain a representative sample of the total population of the city.
c.
The students should choose a sample survey because an exhaustive count (census) of all inhabitants in the 40 blocks would be unfeasible, and the sample allows inferring results for the entire population.
d.
The students should conduct a census survey, which involves the exhaustive count of all city inhabitants, to ensure result accuracy.
e.
The students should choose a stratified sample survey, which involves dividing the population into homogeneous groups and selecting samples from each group.

Answer sheet:

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