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. 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.

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 class=

Respuesta :

Answer:

3440

Step-by-step explanation:

The total number of people polled is 150.

The total number of people who said they'd vote for Candidate #2 is 78.

The number of undecided voters is 7.

Assuming undecided voters don't vote, Candidate #2 can expect to win 78/143 = 54.5% of the votes.

75% of the 8400 registered voters will vote, or 6300.

So Candidate #2 can expect to win 3440 votes.

The number of votes should be 3440

  • The calculation is as follows:

The total number of people polled is 150.

The total number of people who said they'd vote for Candidate #2 is 78.

And,

The number of undecided voters is 7.

So here we assume that undecided voters don't vote,

Candidate #2 can expect to win [tex]78\div 143[/tex] = 54.5% of the votes.

Now

75% of the 8400 registered voters =  6300

Now the number of votes should be

= 54.5% of 6,300

= 3440 votes.

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