Final answer:
This question requires understanding the statistics of the risk of fatal car accidents while using a cell phone, which necessitates data analysis including probability, hypothesis testing, and confidence interval estimation.
Step-by-step explanation:
The question relates to the probability and statistics of fatal car accidents while using a cell phone. Studies have shown that driver error plays a significant role in car accidents. To determine the probability of being killed in a car wreck while on the cell phone, we need to analyze data from studies that compare cell phone usage among drivers in fatal car accidents versus those who were not using a cell phone. An example given is an examination of 30 fatal accidents to verify if the American Automobile Association's statistic that driver error causes 54% of all fatal auto accidents is accurate.
Moreover, in hypothesis testing—such as testing the claim that cell phone users have a greater rate of brain cancer compared to non-users—the significance level set (like 0.005) is chosen to minimize the likelihood of a Type I error, which is concluding there is an effect when there isn't.
Confidence intervals are another relevant statistical concept, where a particular percentage, such as 95%, quantifies the uncertainty around estimating a population parameter, like the proportion of cell phone users in a city.