A random sample of $\mathrm { n } = 300$ measurements is drawn from a binomial population with probability of success . 43 . Give the mean and the standard deviation of the sampling distribution of the sample proportion, $\mathrm { p }$.
A) $57 ; .014$
B) .43;.029
C) $57 ; .029$
D) .43;.014

Question

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample proportion is given by $p$, which is .43. The standard deviation is given by $\sqrt{\frac{p(1-p)}{n}}$, which calculates to $\sqrt{\frac{.43(.57)}{300}} \approx .029$.

A Random Sample Of n=300\mathrm { n } = 300n=300 Measurements Is Drawn from a Binomial Population with Probability of Measurements

A Random Sample Of $\mathrm { n } = 300$ Measurements Is Drawn from a Binomial Population with Probability of Measurements