Question
MI. 11 Identify representative, random, and biased samples csp Hazel surveyed 2 teachers from each academic department at school. Each department has an equal number of teachers. Is this sample of the teachers in the school likely to be biased? yes no
Ask by George Boone. in the United States
Jan 16,2025
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Answer
No, the sample is unlikely to be biased.
Solution
No, the sample is **unlikely to be biased**.
**Explanation:**
Hazel's approach involves selecting 2 teachers from each academic department, with each department having an equal number of teachers. This method ensures that every department is equally represented in the survey, maintaining proportionality across the entire school. Since each department contributes the same number of teachers to the sample, the overall sample accurately reflects the diversity and distribution of the school's teachers.
This technique is known as **stratified sampling**, which is designed to produce a representative sample by ensuring that specific subgroups (in this case, academic departments) are appropriately represented. Therefore, Hazel's sampling method minimizes the risk of bias.
**Answer:**
No
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Using equal representation from each department may lead to a biased sample if the goal is to generalize opinions about the entire teaching staff. Since each department is likely to have different sizes of remaining teachers, sampling two teachers from each may not accurately reflect the overall population. To avoid bias, random selection of teachers from the entire pool, instead of department-based quotas, could result in a more accurate representation of the entire teaching staff's opinions and concerns. This approach allows for more diverse perspectives to emerge, ensuring that smaller departments do not have an outsized influence on the survey results.
