Question

If random samples of size 525 were taken from a very large population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

Answer 1

Answer: 0.02

Step-by-step explanation:

Given: Sample size : $n= 525$

The population proportion $P=0.3$

Then, $Q=1-P=1-0.3=0.7$

The formula to calculate the standard error is given by :-

$S.E.\sqrt{\dfrac{PQ}{n}}$

$\Rightarrow\ S.E.=\sqrt{\dfrac{0.3\times0.7}{525}}=0.02$

Hence, the standard deviation of the sample proportions (i.e., the standard error of the proportion) is 0.02.