Questions: Discuss the statement and tell what possible misuse or misinterpretation may exist. Suppose seventy percent of accidents occur within 14 miles of home. Therefore, it is safer not to drive within 14 miles of home. Discuss the statement and tell what possible misuse or misinterpretation may exist. Choose the correct answer below. A. The statement is not valid because most accidents occur within 14 miles of home. B. The statement is valid because people may drive within 14 miles of home more often. C. The statement is not valid because people may drive within 14 miles of home more often. D. The statement is valid because most accidents occur within 14 miles of home.

Discuss the statement and tell what possible misuse or misinterpretation may exist. Suppose seventy percent of accidents occur within 14 miles of home. Therefore, it is safer not to drive within 14 miles of home. Discuss the statement and tell what possible misuse or misinterpretation may exist. Choose the correct answer below. A. The statement is not valid because most accidents occur within 14 miles of home. B. The statement is valid because people may drive within 14 miles of home more often. C. The statement is not valid because people may drive within 14 miles of home more often. D. The statement is valid because most accidents occur within 14 miles of home.
Transcript text: Discuss the statement and tell what possible misuse or misinterpretation may exist. Suppose seventy percent of accidents occur within 14 miles of home. Therefore, it is safer not to drive within 14 miles of home. Discuss the statement and tell what possible misuse or misinterpretation may exist. Choose the correct answer below. A. The statement is not valid because most accidents occur within 14 miles of home. B. The statement is valid because people may drive within 14 miles of home more often. C. The statement is not valid because people may drive within 14 miles of home more often. D. The statement is valid because most accidents occur within 14 miles of home.
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Solution

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Solution Steps

Step 1: Identify the Logical Fallacy or Misinterpretation

The common misinterpretation in the statement is assuming that correlation does not imply causation. This means that just because a high percentage (70%) of accidents occur within 14 miles of home, it does not necessarily mean that driving within that distance is inherently unsafe.

Step 2: Consider the Base Rate or Exposure

It's important to understand that the high percentage of accidents occurring within 14 miles of home could be due to the fact that people drive more often within that distance, not because it is more dangerous. This is a classic example of more driving within a certain distance leads to more accidents by volume.

Step 3: Evaluate the Statement's Validity

The statement makes an unwarranted leap from correlation to causation. It ignores other relevant factors such as the total amount of driving done within that distance compared to other distances.

Step 4: Choose the Correct Interpretation

Based on the analysis, the correct choice is to point out that The statement misinterprets the data or ignores the fact that more driving occurs within the specified distance. Therefore, the statement is not valid because it unwarranted leap from correlation to causation.

Final Answer:

The statement that 'Suppose 70% of accidents occur within 14 miles of home. Therefore, it is safer not to drive within that distance of home.' is a misinterpretation of the data. It fails to consider the higher volume of driving within that distance and incorrectly assumes a causation from a correlation.

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