Question

Consider random samples of size 900 from a population with proportion 0.65 . Find the standard error of the distribution of sample proportions.

Answer 1

The value is
`\sigma_(p) = 0.022`

Explanation:

From the question we are told that

The sample size is n = 900

The population proportion is
`p = 0.65`

Generally the standard error of the distribution of sample proportion is mathematically represented as

`\sigma_(p) = \sqrt{( p(1 - p))/( n) }`

=>
`\sigma_(p) = \sqrt{( 0.65 (1 - 0.65 ))/( 900) }`

=>
`\sigma_(p) = 0.022`