Problem preview
S-IC.4 Warmup M3-050-A01-V01

Use sample data to estimate population means/proportions and develop margins of error using simulation.

Use a sample proportion to estimate a population proportion

Problem

Of \(200\) surveyed people, \(138\) support proposal A. Compute the sample proportion and use it to estimate the population proportion.

Big Picture

What this problem is really about

Turn the favorable count into a sample proportion by dividing it by the full sample size. That statistic, often written p hat, is the natural point estimate of the matching population proportion. Keep the estimate distinct from the unknown parameter, since another random sample could produce a different proportion.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
S-IC.4
Category
Statistics and Probability
Domain
Making Inferences and Justifying Conclusions
Objective
Use sample data to estimate population means/proportions and develop margins of error using simulation.
Problem type
Use a sample proportion to estimate a population proportion