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A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that $23 \%$ of the students in the population saw a movie at least once per month. The margin of error for this estimation is $4 \%$. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?

SAT · Math · previous-year question

  1. A.It is unlikely that less than $23 \%$ of the students see a movie at least once per month.
  2. B.At least 23\%, but no more than $25 \%$, of the students see a movie at least once per month.
  3. C.The researcher is between $19 \%$ and $27 \%$ sure that most students see a movie at least once per month.
  4. D.It is plausible that the percentage of students who see a movie at least once per month is between $19 \%$ and $27 \%$.

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