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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 Neither; they conducted the same number of trials. Neither; they conducted the same number of trials. 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.

1 answer

To determine whose results provide a better indication of the proportions of white and red balls in each bowl, we need to consider the number of trials conducted by each individual.

Simon conducted:

  • Bowl A: 5 white balls and 15 red balls (total: 20 trials)
  • Bowl B: 16 white balls and 4 red balls (total: 20 trials)

Clark conducted:

  • Bowl A: 45 white balls and 55 red balls (total: 100 trials)
  • Bowl B: 60 white balls and 40 red balls (total: 100 trials)

While both Simon and Clark performed their experiments at random, Clark conducted a greater number of trials (100 trials) compared to Simon (20 trials). Generally, a larger number of trials leads to better estimates of proportions, as it reduces the impact of random variation.

Therefore, the response that best reflects the situation is:

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