There are four presidential candidates in a country. A street survey was conducted asking 2,500 registered voters which candidate they will vote for in the coming election. The table summarizes the results of the survey. Presidential Candidates Number of Supporters Candidate 1 250 , Candidate 2 1,250 , Candidate 3 450, Candidate 4 550. If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4? Explain the answer
To find out how many of the additional 1,000 voters will likely prefer Candidate 3 or 4, we can use the proportions from the initial survey.
Candidate 3 received 450 out of 2,500 votes, which is 18% of the total votes.
Candidate 4 received 550 out of 2,500 votes, which is 22% of the total votes.
If we assume the proportions remain the same in the additional 1,000 voters, then we can estimate that the same percentage of the new voters will prefer Candidate 3 or 4.
Out of 1,000 new voters, 18% will likely prefer Candidate 3, which is 180 voters.
Out of 1,000 new voters, 22% will likely prefer Candidate 4, which is 220 voters.
Therefore, a total of 180 + 220 = 400 of the additional 1,000 voters will likely prefer Candidate 3 or 4.
wrong
I apologize for the mistake in my previous explanation. Let me correct it:
In the initial survey, Candidate 3 received 450 votes out of 2,500 voters, which is 18% of the total votes. Candidate 4 received 550 votes out of 2,500 voters, which is 22% of the total votes.
To estimate the number of new voters who will likely prefer Candidate 3 or 4 out of the additional 1,000 voters:
Out of 1,000 new voters, 18% (180 voters) are estimated to prefer Candidate 3.
Out of 1,000 new voters, 22% (220 voters) are estimated to prefer Candidate 4.
Therefore, a total of 180 + 220 = 400 of the additional 1,000 voters will likely prefer Candidate 3 or 4.