A poll is conducted to determine who is most likely to win the election for town mayor. Two random samples of 500 residents each are polled. The data is as follows.

Question

This table presents the results of two random samples of 500 residents each, indicating their preferred candidate for town mayor.
Candidate A Candidate B Total
Sample 1 346 154 500
Sample 2 248 252 500
What percentage of the total polled residents would vote for Candidate A as the town mayor? Do not round your answer.

(1 point)
%

Answer 1

To calculate the percentage of the total polled residents who would vote for Candidate A, we first need to find the total number of residents who preferred Candidate A from both samples.

From Sample 1:

• Votes for Candidate A = 346

From Sample 2:

• Votes for Candidate A = 248

Now, we add the votes for Candidate A from both samples:

• Total votes for Candidate A = 346 + 248 = 594

Next, we find the total number of residents polled:

• Total residents polled = 500 (Sample 1) + 500 (Sample 2) = 1000

Now, we can calculate the percentage of residents who would vote for Candidate A using the formula:

\[ \text{Percentage for Candidate A} = \left(\frac{\text{Total votes for Candidate A}}{\text{Total residents polled}}\right) \times 100 \]

Substituting the numbers:

\[ \text{Percentage for Candidate A} = \left(\frac{594}{1000}\right) \times 100 = 59.4 \]

Thus, the percentage of the total polled residents who would vote for Candidate A is 59.4%.