Free SAT Inference from sample statistics and margin of error practice questionsdigital SAT, 2026 format
Scaling a sample proportion up to a population estimate, and reading a margin of error as a plausible range rather than a certainty.
Answer each question, then read why the right answer is right and why the tempting one is wrong.
Question 1
A polling company surveyed a random sample of 400 voters in a state and reported the percent who support a ballot measure, with a margin of error of 5 percentage points. Which change to the survey would most likely reduce the margin of error?
Question 2
A researcher used a random sample of 100 households to estimate the mean weekly grocery spending in a county, and the estimate had a margin of error of 6 dollars. If the researcher repeats the study using the same method with a random sample of 400 households, which of the following is the best estimate of the new margin of error, in dollars?
Question 3
A survey of a random sample of 400 adults in a city found that 48% of those surveyed support building a new park, with an associated margin of error of 5 percentage points. Which of the following is the most appropriate conclusion about all adults in the city?
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