A random sample of size 1,000 is taken from a population where p = .20.What is $\left( \sigma _ { \dot { p } } \right)$
?
A).0051
B).03162
C).01414
D).01265

Question

Quizplus · Accepted Answer

The standard deviation of the sample proportion ($\sigma _{\dot{p}}$) is calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$. Substituting the given values, $\sqrt{\frac{0.20 \times 0.80}{1000}} = 0.01265$.

A Random Sample of Size 1,000 Is Taken from a Population