Question
In a local election, 700 people will vote. Of those 700 people, 300 plan to vote for Candidate A, and 400 plan to vote for Candidate B. Paloma wants to simulate generating two random samples of 20 responses to the question “Who do you plan to vote for?” Which of the following describes how she could do this using marbles?(1 point)
Responses
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then randomly choose 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then randomly choose 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose her favorite 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose her favorite 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose 20 marbles, making sure to choose some marbles of each color. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose 20 marbles, making sure to choose some marbles of each color. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should randomly choose 20 marbles of two different colors and put them in a bag. She should then randomly choose marbles from the bag one at a time. The different colors will represent votes for Candidate A versus Candidate B. She should then repeat this process to simulate generating a second sample.
Paloma should randomly choose 20 marbles of two different colors and put them in a bag. She should then randomly choose marbles from the bag one at a time. The different colors will represent votes for Candidate A versus Candidate B. She should then repeat this process to simulate generating a second sample.
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Responses
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then randomly choose 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then randomly choose 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose her favorite 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose her favorite 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose 20 marbles, making sure to choose some marbles of each color. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then look into the bag and choose 20 marbles, making sure to choose some marbles of each color. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.
Paloma should randomly choose 20 marbles of two different colors and put them in a bag. She should then randomly choose marbles from the bag one at a time. The different colors will represent votes for Candidate A versus Candidate B. She should then repeat this process to simulate generating a second sample.
Paloma should randomly choose 20 marbles of two different colors and put them in a bag. She should then randomly choose marbles from the bag one at a time. The different colors will represent votes for Candidate A versus Candidate B. She should then repeat this process to simulate generating a second sample.
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Answers
GPT-4o mini
The correct method for Paloma to simulate generating two random samples of 20 responses to the question “Who do you plan to vote for?” is:
**Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then randomly choose 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.**
This method accurately reflects the proportions of the votes for Candidates A and B and ensures that the sampling is done randomly, which is essential for a fair simulation.
**Paloma should choose 300 marbles of one color and 400 marbles of another color and place them in a bag. She should then randomly choose 20 marbles. The marbles she chooses represent the votes for Candidates A and B. She should then repeat this process to simulate generating a second sample.**
This method accurately reflects the proportions of the votes for Candidates A and B and ensures that the sampling is done randomly, which is essential for a fair simulation.