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

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 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.

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.
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.

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.
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Answer 1

Candidate A is more likely, because overall across the two random samples A has 74 votes (4+70) while B has 36 (6+30). The larger sample (n=100) favoring A gives A the higher total and proportion (74/110 ≈ 0.673).