Lecture28[1] - Lecture 28 Sampling Distribution of p...

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Sampling Distribution of Section 7.6 Lecture 28 p
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Sampling Distribution of The sampling proportion of is the point estimator of the population proportion p . The formula for computing the sample proportion is: x = the number of elements in the sample that possess the characteristic of interest n = the sample size x p n p p
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Sampling Distribution of The sampling distribution of is the probability distribution of all possible values of the sample proportion . To determine how close the sample proportion is to the population proportion p , we need to understand the properties of the sampling distribution of : 1) Expected Value 2) Standard Deviation 3) Form of the Sampling Distribution p p p p
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Expected Value & Standard Deviation ( ) E p p (1 ) p p p n
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Form of the Sampling Distribution For a simple random sample from a large population, the value of x is a binomial random variable indicating the number of “successes”. Because n is a constant, the probability of
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