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
250+1,250+450+550=2,500 so candidate 2 has more supporters
b. If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4? Explain the answer and show work.
If 1,000 more voters are surveyed, we can assume that the percentages of supporters for each candidate remain the same.
Currently, Candidate 3 has 450 supporters and Candidate 4 has 550 supporters.
To find out how many of the additional 1,000 voters will likely prefer Candidate 3 or 4, we can calculate the proportion of supporters for each candidate and then apply that proportion to the additional 1,000 voters.
Proportion of supporters for Candidate 3 = 450/2500 = 0.18
Proportion of supporters for Candidate 4 = 550/2500 = 0.22
Therefore, out of the additional 1,000 voters, we can expect:
Number of supporters for Candidate 3: 0.18 * 1000 = 180
Number of supporters for Candidate 4: 0.22 * 1000 = 220
In total, 180 + 220 = 400 voters will likely prefer either Candidate 3 or 4 out of the additional 1,000 voters surveyed.