Question

The city of Raleigh has 6000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 100 said they'd vote for Brown, 141 said they'd vote for Feliz, and 9 were undecided. Describe the population actually represented by this survey.

Answer 1

`Brown = 2400`

`Feliz = 3384`

`Undecided = 216`

Explanation:

Given

`N = 6000` -- population

`n = 250` -- sample

From the sample, the proportions are:

`B = 100` -- Brown

`F=141` -- Feliz

`U = 9` -- undecided

Required

Describe the actual population

The actual is calculated using:

`Actual = (p)/(n) * N`

So, for Brown

`Brown = (100)/(250) *6000`

`Brown = (100*6000)/(250)`

`Brown = (600000)/(250)`

`Brown = 2400`

For Feliz

`Feliz = (141)/(250) * 6000`

`Feliz = (141* 6000)/(250)`

`Feliz = (846000)/(250)`

`Feliz = 3384`

For undecided

`Undecided = (9)/(250)*6000`

`Undecided = (9*6000)/(250)`

`Undecided = (54000)/(250)`

`Undecided = 216`