Question

Question

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.

Answer 1

To calculate the percentage of the total polled residents who would vote for Candidate A, we first need to determine the total number of votes for Candidate A from both samples and then divide that by the total number of residents polled.

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 find the percentage of residents who would vote for Candidate A:

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

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

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