Question
In a local election, Candidate A and Candidate B are both running for the town council. A random sample of 10 voters finds that 4 plan to vote for Candidate A and 6 plan to vote for Candidate B. Another random sample of 100 votes finds that 70 plan to vote for Candidate A and 30 plan to vote for Candidate B. Determine which candidate is most likely to get more votes in the election and why.(1 point)
Responses
Candidate B is more likely to get more votes in the election because they got the greater number of votes in the first sample.
Candidate B is more likely to get more votes in the election because they got the greater number of votes in the first sample.
It is impossible to say because Candidate B got more votes in the first sample and Candidate A got more votes in the second sample.
It is impossible to say because Candidate B got more votes in the first sample and Candidate A got more votes in the second sample.
Candidate A is more likely to get more votes in the election because A comes before B.
Candidate A is more likely to get more votes in the election because A comes before B.
Candidate A is more likely to get more votes in the election because they got the greater number of votes overall in the random samples.
Responses
Candidate B is more likely to get more votes in the election because they got the greater number of votes in the first sample.
Candidate B is more likely to get more votes in the election because they got the greater number of votes in the first sample.
It is impossible to say because Candidate B got more votes in the first sample and Candidate A got more votes in the second sample.
It is impossible to say because Candidate B got more votes in the first sample and Candidate A got more votes in the second sample.
Candidate A is more likely to get more votes in the election because A comes before B.
Candidate A is more likely to get more votes in the election because A comes before B.
Candidate A is more likely to get more votes in the election because they got the greater number of votes overall in the random samples.
Answers
GPT-4o mini
Candidate A is more likely to get more votes in the election because they got the greater number of votes overall in the random samples.
To break it down:
- In the first sample of 10 voters, Candidate A received 4 votes (40%) and Candidate B received 6 votes (60%).
- In the second sample of 100 voters, Candidate A received 70 votes (70%) and Candidate B received 30 votes (30%).
When you consider the results of the larger sample (100 voters), Candidate A significantly outperformed Candidate B, which is a more reliable indicator of the election outcome. Therefore, based on the overall data from the samples, Candidate A is more likely to get more votes in the election.
To break it down:
- In the first sample of 10 voters, Candidate A received 4 votes (40%) and Candidate B received 6 votes (60%).
- In the second sample of 100 voters, Candidate A received 70 votes (70%) and Candidate B received 30 votes (30%).
When you consider the results of the larger sample (100 voters), Candidate A significantly outperformed Candidate B, which is a more reliable indicator of the election outcome. Therefore, based on the overall data from the samples, Candidate A is more likely to get more votes in the election.