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Sampling Distribution of p

The distribution of the mean number of successes

The sampling distribution of \(p\) is the distribution of the mean number of successes. It has a mean equal to the population proportion.
\(.75\)

The mean of the sampling distribution of \(p\) is equal to the population proportion. It is \(225/300 = .75\).
\(.137\)

The standard error of \( p = \sqrt[p(1-p)/N] = \sqrt[(.75)(.25)/10] = .137 \)

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