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.

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.
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.

1 answer

To determine whose results give a better indication of the proportion of white and red balls in each bowl, we can compare the number of trials conducted by Simon and Clark.

From the data provided:

  • Simon’s Results:

    • 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 + 20 = 40
  • Clark’s Results:

    • 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 + 100 = 200

Clark conducted significantly more trials than Simon (200 trials compared to 40). With a larger sample size, Clark's results will provide a more accurate representation of the proportions of white and red balls in each bowl.

Thus, the correct response is:

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