Problem preview

S-IC.1 Warmup M3-047-A08-V02

Understand statistics as inference about population parameters from random samples.

Bound generalization by the sampling frame

Problem

Evaluate the supported inference scope for self-selected volunteers from \(\text{one}~\text{website}\), including the sampling classification, valid descriptive scope, prohibited generalizations, and bias mechanisms.

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Treat website volunteers as representative of the broader public and generalize automatically.

Call self-selection a method that removes voluntary-response and coverage bias.

Treat volunteers as a simple random sample of all website users and generalize to all users.

The respondents are website volunteers, not a probability sample; findings describe volunteers and should not be generalized to all users or the public because of voluntary-response and coverage bias.

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Curriculum context

Course: Math III
Standard: S-IC.1
Category: Statistics and Probability
Domain: Making Inferences and Justifying Conclusions
Objective: Understand statistics as inference about population parameters from random samples.
Problem type: Bound generalization by the sampling frame