SAT Inference from sample statistics and margin of error Practice Question 4 (Easy)

Question bank / Inference from sample statistics and margin of error

Math · Problem-Solving and Data AnalysisEasy

A school has $1{,}600$ students. In a random sample of $80$ of these students, $15$ said they walk to school. Based on the sample, which of the following is the best estimate of the number of students at the school who walk to school?

$15$

$120$

$300$

$1{,}520$

Show answer and explanation

Answer: C

In the sample, the proportion who walk is $\frac{15}{80} = 0.1875$ . Applying this proportion to all $1{,}600$ students gives $0.1875 \times 1600 = 300$ students.

Choice A is the count in the sample only, not an estimate for the whole school.

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