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.

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)
 ______%

1 answer

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

From Sample 1, Candidate A received 346 votes. From Sample 2, Candidate A received 248 votes.

Now let's calculate the total votes for Candidate A:

\[ \text{Total votes for Candidate A} = 346 + 248 = 594 \]

Next, we need to find the total number of residents polled, which is the sum of both samples:

\[ \text{Total residents polled} = 500 + 500 = 1000 \]

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

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

\[ \text{Percentage for Candidate A} = 59.4 \]

Thus, the percentage of the total polled residents who would vote for Candidate A is:

59.4%