Question

In an opinion poll, 29% of 100 people sampled said they were strongly opposed to the state lottery. What is the approximate standard error of the sample proportion?

Answer 1

The approximate standard error of the sample proportion is
`SE = 0.0454`

Explanation:

From the question we are told that

The sample proportion is
`\r p = 0.29`

The sample size is n = 100

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

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

substituting values

`SE = \sqrt{ ( 0.29 (1- 0.29 ))/( 100 ) }`

`SE = 0.0454`