Final answer:
The most common cause of work zone crashes is carelessness and speeding, not conditions such as tire blow-outs or hydroplaning. This is relevant when considering the AAA's claim about driver error in fatal accidents, which can be statistically tested using hypothesis testing methods at a 0.05 significance level.
Step-by-step explanation:
Crashes in work zones are most commonly the result of carelessness and speeding. The American Automobile Association has noted that driver error is a significant cause of fatal auto accidents. To assess the accuracy of the AAA's statement that 54 percent of all fatal auto accidents are due to driver error, a hypothesis test can be undertaken for the proportion based on the 30 randomly selected fatal accidents, of which 14 were caused by driver error.
Using the significance level of α = 0.05, a statistical test can determine if there is enough evidence to refute the AAA's proportion. By calculating the test statistic and comparing it to the critical value or p-value, one can conclude whether the observed proportion of 14 out of 30 significantly differs from the AAA's reported proportion of 54%.