Question

074 PLS

The city of Raleigh has 12,000 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 350 randomly selected

registered voters was conducted. 108 said they'd vote for Brown, 217 said they'd vote for Feliz, and 25

were undecided.

Give the sample statistic for the percentage of voters surveyed who said they'd vote for Brown. Round your

answer to the nearest tenth of a percent.

% of the surveyed voters said they'd vote for Brown.

of the 12,000 registered voters to vote

This sample statistic suggests that we might expect

for Brown. Round your answer to the nearest person.

Answer 1

31% of the surveyed voters said they would vote for Brown.

Explanation:

A sample statistic is a a statistical measure computed from a sample taken from the population. The sample statistic is used to estimate the unknown value of the population parameter.

For example, sample mean (
`\bar x`) is used estimate the population mean (
`\mu`), sample proportion (
`\hat p`) is used to estimate the population proportion (
`p`).

A sample of size n = 350 registered voters are selected.

Of these 350 voters 108 said they would vote for Brown, 217 said they would vote for Feliz, and 25 were undecided.

The sample proportion of voters who would vote for Brown is:

`\hat p=(108)/(350)= 0.3086\approx0.31`

Thus, the sample statistic for the percentage of voters surveyed who said they would vote for Brown is 31%.

According to the sample proportion the estimated percentage of voters who would vote for Brown is 31%. This implies that Brown might loose the election.