school
Acemy

Sampling Distributions for Sample Proportions

AP Statistics· difficulty 2/5

A population has p = 0.40. Samples of size n = 100 are drawn.

σ_p̂ = √(p(1-p)/n)

What is the standard deviation of the sampling distribution of p̂?

  • A

    0.40

  • B

    0.24

  • C

    0.06

  • D

    0.049

    check_circle

Explanation

σ_p̂ = √(p(1-p)/n) = √(0.40·0.60/100) = √0.0024 ≈ 0.049.

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