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

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{(PQ)/(n)}`

`\Rightarrow\ S.E.=\sqrt{(0.3*0.7)/(525)}=0.02`

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