LEARN · EXPLAIN · REVISE

A report gives only the estimated proportion k/(k+2). Name two additional pieces of information needed to judge it.

Read the idea, work independently, then explain what changed.

高一必修第二册(A版).pdf · 9.3 · PDF 227 / printed page 220

TOPIC 01

Statistical case study

Build understanding of statistical case study through definitions, contrasting cases and justified applications.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Standard#Your turn

k=3

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

State the survey question, population, sampling and measurement rules before drawing a conclusion.

Hint 2

Ask how the observations were selected and how many contributed.

Worked solution

State the survey question, population, sampling and measurement rules before drawing a conclusion.
Calculate or simplify this relation.
$\text{estimate} + \text{design} + \text{sample size}$
A percentage alone does not reveal representativeness or precision.

Sampling method and sample size, with the target population and response rate also relevant.

Checks and common pitfalls: A percentage alone does not reveal representativeness or precision.

Reasoning checklist · self / teacher assessment

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment

Use statistical case study to state a justified conclusion.
Full investigation: Define the target, collect compatible data, analyze and report limitations.
Ethical reporting: Use anonymous classroom data and preserve uncertainty and exclusions.
Close with: conditions → representation → reasoning → check.

Expected reasoning: Define the target, collect compatible data, analyze and report limitations.
Expected reasoning: Use anonymous classroom data and preserve uncertainty and exclusions.
Expected correction: A statistical association alone is not a causal conclusion.