Completion requirements
Here, we introduce the mean and standard deviation of the sampling
distribution of \(p\) and the relationship between
the sampling distribution of \(p\) and the normal distribution.
Sampling Distribution of p
Answers
- 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 \(p = sqrt[p(1-p)/N] = sqrt[(.75)(.25)/10] = .137\)