Final answer:
The question is about establishing the percentage of traffic fatalities involving pedestrians in California, a mathematical topic. Without specific data for pedestrian deaths, the student is shown how to perform a hypothesis test for a proportion using provided statistics on driver errors.
Step-by-step explanation:
The question pertains to traffic fatalities in California, asking for the percentage that involve pedestrian deaths. This is a subject matter of Mathematics as it involves statistical analysis of traffic fatality data. However, the information provided does not include a specific percentage for pedestrian deaths in California, making it impossible to give an accurate answer to the student's question. Instead, I will demonstrate how to test for the accuracy of a given proportion using the information on driver error as a cause of fatal auto accidents as provided.
To test the accuracy of the American Automobile Association's claim that driver error is the cause of approximately 54 percent of all fatal auto accidents, we can perform a hypothesis test using the sample proportion. In a sample of 30 fatal accidents, 14 were found to be caused by driver error. The sample proportion (p) is 14/30.
Steps for testing the hypothesis:
- State the null hypothesis (H0): The population proportion is equal to 0.54.
- State the alternative hypothesis (H1): The population proportion is different from 0.54.
- Calculate the test statistic using the sample proportion and the standard error of the proportion.
- Determine the critical value(s) for the significance level (alpha = 0.05) from the standard normal distribution.
- Compare the test statistic to the critical value to decide if we reject or fail to reject the null hypothesis.
Notably, without specific pedestrian data, a separate analysis would be required to assess the percentage involving pedestrian deaths in traffic fatalities.