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Mean, Standard Deviation, and the Shape of the Sampling Distribution of the Sample Proportion

  • The mean of the sampling distribution of the sample proportion, , is the population proportion, p.

  • The standard deviation of the sampling distribution of the sample proportion is
    p(1 − p) ⁄ n.

  • If np > 5 and n(1 − p) > 5, then the sampling distribution of is approximately normal.

Mean, Standard Deviation, and the Shape of the Sampling Distribution of the Sample Proportion

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Population vs Sample Proportions 0:10
    • Population Proportion
    • Sample Proportion
    • Sample: Eye Color
  • Mean/Standard Deviation of Sample Proportion 1:47
    • Mean
    • Unbiased Estimator
    • Standard Deviation
  • Shape of the Distribution 3:07