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Question about Census and Sample Research

Mathematics

Originais Teachy

Census and Sample Research

Easy

(Originais Teachy 2024) - Question Easy of Mathematics

In the context of a school that wants to understand its students' musical preferences to organize events, the need for a survey has arisen. Considering that the school has a total of 1200 students distributed in three shifts (morning, afternoon, and evening), the board faces the challenge of deciding whether to conduct a complete survey, interviewing all students, or to opt for a representative sample that saves time and resources while maintaining the same statistical reliability. Given the situation, which research method - census or sample - would be more suitable for this school and why?
a.
The choice between a census and sample survey is merely a matter of preference as both offer the same level of statistical reliability and cost equally.
b.
None of the options is suitable because a census survey would be too costly, and a sample survey would not provide reliable results.
c.
A sample survey would only be justifiable if the school had fewer than 500 students; otherwise, a census survey is the only viable option.
d.
A sample survey would be more suitable for the school because, with a well-selected and adequately large sample, it is possible to extrapolate the results to the entire student population, saving time and resources.
e.
A census survey would be more efficient as it would ensure a complete understanding of the musical preferences of all students, even if it requires more time and resources.

Answer sheet:

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