Back to Estimate population parameters with margin of error — Problem 1 · Task Set 15

Exercises: Estimate a Population Mean or Proportion with a Margin of Error

Work through each section in order. Show your work where indicated. When you report an estimate, give the point estimate, the margin of error (about two standard deviations of the simulated sampling distribution), and the interval estimate, and interpret it in context.

Grade 11·21 problems·~45 min·Common Core Math - HS Statistics and Probability·group·hss-ic-b-4

Work through problems with immediate feedback

Fluency Practice

A pollster reports " $52\%$ , with a margin of error of $\pm 3$ percentage points." A student
says, "That means the pollster might have made mistakes recording the answers." What is the
best correction?

The student is right -- margin of error measures recording and measurement mistakes.

The margin of error measures how much the estimate would move across different random samples (sampling variability), even with perfectly collected data.

The margin of error guarantees the true value is exactly $52\%$ .

The margin of error means the survey is unreliable and should be discarded.