Final answer:
The sample of 30 fatal accidents, with 14 attributed to driver error, can be examined using a Z-test for proportions at a significance level of 0.05 to determine if the AAA's reported proportion of 54% is accurate.
Step-by-step explanation:
The question relates to whether the American Automobile Association's proportion of fatal auto accidents caused by driver error is accurate. A sample of 30 fatal accidents is examined, and 14 were caused by driver error. Using a significance level of α = 0.05, you would perform a hypothesis test for a population proportion to determine if the observed sample proportion significantly differs from the AAA-reported proportion of 54%. The null hypothesis would assert that the true proportion is 0.54, and the alternative hypothesis would suggest a different proportion. Should the results show the proportion within the sample significantly differs from 0.54, you could reject the null hypothesis, suggesting the AAA proportion might not be accurate. Statistical analysis such as a Z-test for proportions could be applied to make this determination.