Problem preview

S-IC.1 Warmup M3-047-A09-V04

Understand statistics as inference about population parameters from random samples.

Choose which of two sampling plans gives better inference about a population

Problem

A city estimates resident support for a new park using either \(200\) residents randomly sampled from the city roster or \(1,200\) voluntary responses to a newspaper website poll. State the plan that gives better population inference and explain why.

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Both plans give about the same inference because each plan asks many city residents, so the sampling method matters less here.

Plan B gives better inference because a newspaper website poll reaches many residents, so it has better coverage of the city.

Plan B gives better inference because 1200 responses is much larger than 200, so its estimate should be more accurate.

Plan A gives better inference because randomly selecting 200 residents reduces bias more than a larger voluntary website poll does.

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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: Choose which of two sampling plans gives better inference about a population