school
Acemy

Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 2/5

Sample of n = 100, p̂ = 0.30. Construct an 80% CI.

p̂ = 0.30

Using z* = 1.282, what is the 80% CI?

  • A

    (0.250, 0.350)

  • B

    (0.241, 0.359)

    check_circle
  • C

    (0.260, 0.340)

  • D

    (0.215, 0.385)

Explanation

SE = sqrt(0.3·0.7/100) ≈ 0.0458. ME = 1.282·0.0458 ≈ 0.0588. CI ≈ (0.241, 0.359).

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