Questions: In 2020, a total of 2,738 teens (ages 13-19) were killed in car crashes in the United States. The number of teen males who were killed was 1,866 and the number of teen females who were killed was 864. A reporter used this information to write, "About 32%, or one out of every three girls will be killed in a car crash." Which of the following statements is the best critique of this statement? i. The statement is incorrect because 864 is about 50% of 1,866. The ratio of 1 out of 3 is not a good estimate of the percentage. ii. The statement is correct because 864 is 32% of 2,738, which is very close to one-third. The ratio of 1 out of 3 is a good estimate of the percentage. iii. The statement is incorrect because 864 is 32% of 2,738, which is very close to three-tenths. The ratio of 1 out of 3 is not a good estimate of the percentage. iv. The statement is incorrect because the reference value is the number of teens killed, not all teen girls. It would be correct to say that 32% of teens killed in car crashes are female.

In 2020, a total of 2,738 teens (ages 13-19) were killed in car crashes in the United States. The number of teen males who were killed was 1,866 and the number of teen females who were killed was 864. A reporter used this information to write, "About 32%, or one out of every three girls will be killed in a car crash." Which of the following statements is the best critique of this statement? i. The statement is incorrect because 864 is about 50% of 1,866. The ratio of 1 out of 3 is not a good estimate of the percentage. ii. The statement is correct because 864 is 32% of 2,738, which is very close to one-third. The ratio of 1 out of 3 is a good estimate of the percentage. iii. The statement is incorrect because 864 is 32% of 2,738, which is very close to three-tenths. The ratio of 1 out of 3 is not a good estimate of the percentage. iv. The statement is incorrect because the reference value is the number of teens killed, not all teen girls. It would be correct to say that 32% of teens killed in car crashes are female.
Transcript text: In 2020, a total of 2,738 teens (ages 13-19) were killed in car crashes in the United States. The number of teen males who were killed was 1,866 and the number of teen females who were killed was 864. A reporter used this information to write, "About 32%, or one out of every three girls will be killed in a car crash." Which of the following statements is the best critique of this statement? i. The statement is incorrect because 864 is about 50% of 1,866. The ratio of 1 out of 3 is not a good estimate of the percentage. ii. The statement is correct because 864 is 32% of 2,738, which is very close to one-third. The ratio of 1 out of 3 is a good estimate of the percentage. iii. The statement is incorrect because 864 is 32% of 2,738, which is very close to three-tenths. The ratio of 1 out of 3 is not a good estimate of the percentage. iv. The statement is incorrect because the reference value is the number of teens killed, not all teen girls. It would be correct to say that 32% of teens killed in car crashes are female.
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Solution

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Solution Steps

To critique the statement, we need to calculate the percentage of teen females killed in car crashes out of the total number of teens killed. Then, we compare this percentage to the claim made by the reporter. The correct critique will address whether the percentage is accurately represented by the statement.

Step 1: Calculate the Percentage of Teen Females Killed

To find the percentage of teen females killed in car crashes, we use the formula:

\[ \text{Percentage of females} = \left( \frac{\text{Number of females killed}}{\text{Total number of teens killed}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage of females} = \left( \frac{864}{2738} \right) \times 100 \approx 31.56\% \]

Step 2: Analyze the Reporter’s Statement

The reporter claims that "about \(32\%\), or one out of every three girls will be killed in a car crash." We need to evaluate this statement based on our calculation.

Step 3: Compare the Calculated Percentage to the Claim

The calculated percentage of teen females killed is approximately \(31.56\%\). The claim of "one out of three" translates to approximately \(33.33\%\). Since \(31.56\%\) is not close to \(33.33\%\), the statement is misleading.

Step 4: Identify the Best Critique

Among the options provided:

  • Option ii states that the statement is correct, which is inaccurate.
  • Option iii incorrectly claims that \(864\) is close to three-tenths.
  • Option iv correctly identifies that the reference value should be the total number of teens killed, not just teen girls.

Thus, the best critique is option iv.

Final Answer

The answer is option iv, which states: "The statement is incorrect because the reference value is the number of teens killed, not all teen girls. It would be correct to say that \(32\%\) of teens killed in car crashes are female."

\(\boxed{\text{iv}}\)

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