Problem preview
S-IC.3 Warmup M3-049-A08-V01

Distinguish sample surveys, experiments, and observational studies; explain randomization in each.

Decide whether a study can be generalized to a broader population

Problem

Does this study design support generalization to a broader population: random sample from \(\text{all}~\text{county}~\text{residents}\)?

Big Picture

What this problem is really about

Population generalization is governed by the source of the sample. A chance-based sample from a covering frame supports inference to the population represented by that frame, but not automatically to a larger region whose members could not enter. Because different random samples can yield different statistics, the generalization must retain sampling uncertainty rather than claim certainty.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
S-IC.3
Category
Statistics and Probability
Domain
Making Inferences and Justifying Conclusions
Objective
Distinguish sample surveys, experiments, and observational studies; explain randomization in each.
Problem type
Decide whether a study can be generalized to a broader population