To find the number of voters who will likely prefer Candidate 3 or 4 out of the additional 1,000 voters surveyed, we need to first determine the proportion of voters who prefer those candidates from the initial sample.
Let's say that out of the initial sample of voters, 40% prefer Candidate 3 and 30% prefer Candidate 4.
Therefore, out of the initial sample of voters:
Number of voters who prefer Candidate 3 = 40% of 1000 = 0.4 * 1000 = 400
Number of voters who prefer Candidate 4 = 30% of 1000 = 0.3 * 1000 = 300
So, the total number of voters who prefer Candidate 3 or 4 out of the initial sample = 400 + 300 = 700.
Now, if 1,000 more voters are surveyed, the proportion of voters who prefer Candidate 3 or 4 will likely remain the same (as we are assuming that the new voters have similar preferences). Therefore, out of the additional 1,000 voters surveyed:
Number of voters who will likely prefer Candidate 3 = 40% of 1000 = 0.4 * 1000 = 400
Number of voters who will likely prefer Candidate 4 = 30% of 1000 = 0.3 * 1000 = 300
So, the total number of voters who will likely prefer Candidate 3 or 4 out of the additional 1,000 voters surveyed = 400 + 300 = 700.
Therefore, 700 out of the additional 1,000 voters surveyed will likely prefer Candidate 3 or 4.