Mathematics, 23.06.2019 06:40 scotrebe3626

Asap 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. (table attached below) the town has 8,400 registered voters and expects 75% voter participation. based on the results of this poll, estimate the number of votes that candidate #2 will receive (to the nearest ten). include all calculations in your answer.

Asap a small town is electing a new town council member. they decide to poll three random samples of

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Answer from: rkingmitch8074

The estimate number of votes taht Candidate #2 will receive is 3,280

Explanation:

1. Find the proportion of voters that respondend would vote for candidate #2.

Candidate #2:

Sample 1: 27

Sample 2: 23

Sample 3: 28

Total: 78

Surveyed: 11 + 20 + 11 + 27 + 23 + 28 + 11 + 3 + 9 + 1 + 4 + 2 = 150

Ratio: 78/150 = 0.52

2. Apply the ratio to the expected number of voters.

Number of voters expected = participation % × # of registered voters

# of voters expected = 75% × 8,400 = 6,300

Estimated number of votes for Candidate #2:

Ratio × number of voters = 0.52 × 6,300 = 3,276.

3. Round to the nearest ten: 3,280.

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