Final answer:
The truthfulness of the NHTSA estimate on crashes due to fatigue cannot be confirmed with the provided data. However, the accuracy of the AAA proportion of fatal auto accidents due to driver error and the probability of teen fatalities from motor injuries can be analyzed statistically. Claims about the full moon affecting visibility during an accident require additional evidence.
Step-by-step explanation:
The statement that NHTSA estimates about 250,000 crashes and 100,000 police reports each year are due to fatigue is not directly verifiable within the given data, so it cannot be classified as true or false.
When assessing whether the AAA proportion of 54 percent of all fatal auto accidents being caused by driver error is accurate, a hypothesis test can be performed with the data of 30 randomly selected fatal accidents, where 14 were found to be caused by driver error. Assuming the use of a significance level of α = 0.05, the comparison would involve checking if the observed proportion significantly differs from the AAA-reported proportion.
Regarding motor vehicle injuries for teens, statistical analysis based on available data, like the daily average of teen deaths from motor vehicle injuries, can be conducted to determine the likelihood of more than 20 teens being killed on any given day.
Finally, the claim of a driver being blinded by the Moon during a car accident at midnight on a full moon night would require further investigation, such as checking the position of the moon and any other possible factors that could have contributed to the accident.