In a local university, 40% of the students live in the dormitories.A random sample of 80 students is selected for a particular study.The standard deviation of $\overline { \mathbf { p } }$ , known as the standard error of the proportion is approximately
A) 0.5477
B) 5.477
C) 0.05477
D) 54.77

Question

Quizplus · Accepted Answer

The standard error of the proportion is calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$, where $p = 0.4$ and $n = 80$. This gives $\sqrt{\frac{0.4 \times 0.6}{80}} \approx 0.05477$.

In a Local University, 40% of the Students Live in the Dormitories.A