This type of error is reflected in the margin of error.

Question

BlackTom AI · Accepted Answer

The prompt asks about the type of error that is reflected in the margin of error.

Given information: The answer provided is 'Sampling'.

Regarding the concept: The margin of error in survey sampling is an indication of the precision of the estimate and primarily arises from sampling variability. It quantifies how much the estimate could differ from the true population value if we could repeat the study with different random samples.

Why this aligns with 'Sampling': Sampling error is the discrepancy between a sample statistic and the true population parameter that occurs by chance because the sample is not a perfect representation of the population. The margin of error is directly tied to this random sampling variability and is typically computed using a confidence level (e.g., 95%) to express the range within which the population parameter is expected to lie.

Why other potential error types (in general) would not be reflected in the margin of error, if they were present: While not applicable here due to missing options, other errors such as measurement error (inaccuracies in data collection), nonresponse bias (systematic differences due to nonrespondents), or sampling frame error (mismatch between the sampling frame and the population) affect estimates in different ways and are not captured by the margin of error in the same direct, probabilistic sense as sampling error.

Note on missing options: The provided structure shows an empty answer_options array. Without additional choices, a comparative analysis of why other options might be incorrect cannot be performed. However, with the given correct answer 'Sampling', the key idea is that margin of error quantifies sampling variability due to drawing a sample rather than the entire population.

STAT 1450.02 SP2025 (28132) Checkpoint 18.1 & 18.2

This type of error is reflected in the margin of error.

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