school
Acemy

Inference from Sample Statistics and Margin of Error

SAT Math· difficulty 4/5

Sample A has 100 respondents with margin of error ±5%\pm 5\%. Sample B has 400 respondents (same survey). Sample B's margin of error is approximately:

  • A

    ±1.25%\pm 1.25\%

  • B

    ±10%\pm 10\%

  • C

    ±2.5%\pm 2.5\%

    check_circle
  • D

    ±5%\pm 5\%

Explanation

Margin of error scales as 1/n1/\sqrt{n}. Quadrupling nn halves the margin: 5%/2=2.5%5\%/2 = 2.5\%.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode