Sampling Distributions for a Proportion

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Presentation transcript:

Sampling Distributions for a Proportion AP Statistics

Proportions Proportions are used to answer yes/no types of questions for populations. The parameter is “p”. The sample estimate is “ “.

Facts About The sampling distribution of is close to normal. (z-procedures) The mean of the sampling distribution of is the parameter p. The standard deviation of the sampling distribution is:

Another Fact The standard deviation decreases as “n” increases. To cut the standard deviation in half, quadruple the sample size.

Rules of Thumb #1 - Only use the standard deviation formula of p-hat when the population is at least 10 times the sample size. #2 - Only use the normal approximation for the sampling distribution of p-hat for values of “n” and “p” that satisfy: These rules will become assumptions for inference and estimation.

Homework Textbook: 9.22, 9.23 (skip C), 9.24, 9.27, 9.28