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)
%
Remaining Attempts : 3

Answer 1

To find the percentage of the total polled residents who would vote for Candidate A, we first need to sum the total votes for Candidate A from both samples and then find the percentage out of the total number of residents polled.

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 find the total number of residents polled. Since each sample had 500 residents, the total number of residents polled is:

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

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

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

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

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