A small town is electing a new town council member. They decide to poll three random samples of registered voters to get an idea of which of the three candidates is most likely to be elected. Voters are asked to indicate the candidate they would vote for, if the election were tomorrow. Voters are also given the option of selecting "Undecided". The results of the poll are recorded in the table below.

Sample #1 Sample #2 Sample #3

Candidate #1 11 20 11

Candidate #2 27 23 28

Candidate #3 11 3 9

Undecided 1 4 2

Which candidate do you think will be elected?

How confident are you in your prediction? Explain your reasoning using complete sentences.

Question

Mathematics

Danica Oliver

19 March, 17:10

A small town is electing a new town council member. They decide to poll three random samples of registered voters to get an idea of which of the three candidates is most likely to be elected. Voters are asked to indicate the candidate they would vote for, if the election were tomorrow. Voters are also given the option of selecting "Undecided". The results of the poll are recorded in the table below.

Sample #1 Sample #2 Sample #3

Candidate #1 11 20 11

Candidate #2 27 23 28

Candidate #3 11 3 9

Undecided 1 4 2

Which candidate do you think will be elected?

How confident are you in your prediction? Explain your reasoning using complete sentences.

+3

Answers (1)

Know the Answer?

Abraham Shelton · Answer 1

The total number of samples is

11 + 20 + 11 + 27 + 23 + 28 + 11 + 3 + 9 + 1 + 4 + 2

42 + 78 + 23 + 7

150

The percentage of voters based on the survey that voted for Candidate 2 is

78/150 = 52%

The expected number of voters is

8400 x 75% = 6300 voters

The estimated number of voters voting for candidate 2 is

6300 x 52% = 3276 votes