Distinguish sample surveys, experiments, and observational studies; explain randomization in each.
State the bounded inferential role of random sampling
Problem
Voters are selected by simple random sampling from a complete registered-voter list, and their opinions are recorded. Analyze the sampling frame, selection bias, population generalization, uncertainty, and causal limits.
Big Picture
What this problem is really about
Analyze sampling in layers: identify whom the frame covers, verify the chance-based entry mechanism, and limit generalization to that frame population. Random sampling reduces systematic selection bias but leaves sampling variability and possible nonresponse. Because sampling determines who enters rather than which treatment they receive, it supports population inference but does not establish causation.
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