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 Simon’s experiment. He conducted a greater number of trials than Clark. Simon’s experiment. He conducted a greater number of trials than Clark. Both results can be used, as they performed the experiment at random. Both results can be used, as they performed the experiment at random. Neither; they conducted the same number of trials. Neither; they conducted the same number of trials. Clark’s experiment. He conducted a greater number of trials than Simon. Clark’s experiment. He conducted a greater number of trials than Simon. Skip to navigation

Answer 1

To determine whose results give a better indication of the proportion of white and red balls in each bowl, we need to consider the number of trials each person conducted.

Simon selected:

• Bowl A: 5 white balls, 15 red balls (Total = 20)
• Bowl B: 16 white balls, 4 red balls (Total = 20)

Total trials conducted by Simon = 20 (from both bowls)

Clark selected:

• Bowl A: 45 white balls, 55 red balls (Total = 100)
• Bowl B: 60 white balls, 40 red balls (Total = 100)

Total trials conducted by Clark = 100 (from both bowls)

Since Clark conducted a greater number of trials (100) compared to Simon (20), Clark’s results are likely to be a better indication of the actual proportions of white and red balls in each bowl. The larger sample size reduces the influence of random variation and can lead to more reliable and accurate estimates of the underlying proportions.

Therefore, the correct response is:

"Clark’s experiment. He conducted a greater number of trials than Simon."