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SAT Math Practice Question

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?

  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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