Question
Use the tables to answer the question.
Simon’s Results
This table shows the number of white and red balls Simon selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 5 15
Bowl B 16 4
Clark’s Results
This table shows the number of white and red balls Clark selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Simon and Clark repeatedly selected a ball from both bowls and recorded the results in a table. Whose results will give you a better indication about the proportion of white and red balls in each bowl? Explain your answer.
(1 point)
Responses
Both results can be used, as they performed the experiment at random.
Both results can be used, as they performed the experiment at random.
Simon’s experiment. He conducted a greater number of trials than Clark.
Simon’s experiment. He conducted a greater number of trials than Clark.
Clark’s experiment. He conducted a greater number of trials than Simon.
Clark’s experiment. He conducted a greater number of trials than Simon.
Neither; they conducted the same number of trials.
Simon’s Results
This table shows the number of white and red balls Simon selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 5 15
Bowl B 16 4
Clark’s Results
This table shows the number of white and red balls Clark selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Simon and Clark repeatedly selected a ball from both bowls and recorded the results in a table. Whose results will give you a better indication about the proportion of white and red balls in each bowl? Explain your answer.
(1 point)
Responses
Both results can be used, as they performed the experiment at random.
Both results can be used, as they performed the experiment at random.
Simon’s experiment. He conducted a greater number of trials than Clark.
Simon’s experiment. He conducted a greater number of trials than Clark.
Clark’s experiment. He conducted a greater number of trials than Simon.
Clark’s experiment. He conducted a greater number of trials than Simon.
Neither; they conducted the same number of trials.
Answers
GPT-4o mini
To determine whose results provide a better indication of the proportion of white and red balls in each bowl, we should consider the number of trials (selections) each person made.
Looking at the results:
- **Simon's Results:**
- Bowl A: 5 white, 15 red (Total = 20)
- Bowl B: 16 white, 4 red (Total = 20)
- Total Trials = 20 (5 + 15 + 16 + 4)
- **Clark's Results:**
- Bowl A: 45 white, 55 red (Total = 100)
- Bowl B: 60 white, 40 red (Total = 100)
- Total Trials = 200 (45 + 55 + 60 + 40)
Clark conducted a significantly greater number of trials (200) compared to Simon (20). The larger sample size of trials conducted by Clark increases the reliability of his results in terms of estimating the proportions of white and red balls in each bowl.
Therefore, the appropriate response is:
**Clark’s experiment. He conducted a greater number of trials than Simon.**
Looking at the results:
- **Simon's Results:**
- Bowl A: 5 white, 15 red (Total = 20)
- Bowl B: 16 white, 4 red (Total = 20)
- Total Trials = 20 (5 + 15 + 16 + 4)
- **Clark's Results:**
- Bowl A: 45 white, 55 red (Total = 100)
- Bowl B: 60 white, 40 red (Total = 100)
- Total Trials = 200 (45 + 55 + 60 + 40)
Clark conducted a significantly greater number of trials (200) compared to Simon (20). The larger sample size of trials conducted by Clark increases the reliability of his results in terms of estimating the proportions of white and red balls in each bowl.
Therefore, the appropriate response is:
**Clark’s experiment. He conducted a greater number of trials than Simon.**