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A Harris Poll indicated that of those adults who drive and have a cell phone, the probability that a driver between the ages of 18 and 24 sends or reads text messages is \(0.51 .\) Can this probability be applied to all drivers with cell phones? Explain.

Short Answer

Expert verified
The probability of 0.51 cannot be applied to all drivers, as it is specific to those aged 18-24.

Step by step solution

01

Understanding the Problem

We are given a specific probability concerning a group: drivers between 18 and 24 who send or read text messages while driving. This probability is noted as 0.51. The question asks whether this probability can be applied to all drivers with cell phones regardless of age.
02

Defining the Population

The probability of 0.51 is derived from a subgroup of drivers: those aged 18 to 24. The "all drivers with cell phones" group includes drivers of all ages, not just those in this specific age range. It's important to acknowledge that behaviors can vary significantly across different age groups.
03

Recognizing Variability Across Age Groups

Studies and polls often show that younger drivers, like those aged 18 to 24, have different driving behaviors compared to older drivers. For instance, younger drivers might be more likely to text while driving due to factors like tech savviness or behavioral tendencies, different from older demographics.
04

Drawing the Conclusion

Given that the probability of 0.51 is specific to the 18-24 age group and recognizing the potential behavioral differences across all age groups, we cannot responsibly apply this probability to all drivers with cell phones. Each age group may display different probabilities regarding texting and driving.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Age Groups
When studying probability, understanding the specific age group being considered is crucial. Age groups can significantly impact behavior probabilities because different demographics might exhibit distinct habits and preferences.

For example, in the given exercise, the probability that drivers between the ages of 18 and 24 send or read text messages while driving is 0.51. This age group often consists of younger individuals who are digital natives. Their frequent interaction with technology could influence why they might text more while driving.

Understanding that the statistics from one age group cannot be generalized is essential. Recognizing these differences helps us apply probabilities more accurately within distinct populations.
Behavioral Differences
Drivers of different ages exhibit a variety of behaviors, especially when it comes to technology use. Younger drivers, aged 18 to 24, might be more comfortable and accustomed to using smartphones, including texting, due to growing up in a digital-centric world.

  • Comfort with technology: Younger drivers are often more tech-savvy, making them more likely to use their mobile phones while driving than older drivers.
  • Risk perception: Younger individuals might perceive risky behaviors differently, often underestimating the dangers of texting and driving compared to older age groups.
  • Regulatory influences: Often, younger drivers might not be as influenced by regulations and public safety campaigns as older drivers, who may have seen or heard about the consequences of texting and driving more frequently.


These differences in behavior mean that applying a static probability across all age groups would likely lead to inaccuracies in understanding the actual behavior of drivers with cell phones.
Poll Data Analysis
In poll data analysis, accurately defining the population from which data is collected and analyzed is key. The probability mentioned in this exercise represents a specific subset of drivers: those between the ages of 18 and 24, who interact in certain ways while driving.

When analyzing poll data, consider the following:
  • Sample size and diversity: Ensuring that the sample accurately reflects the broader population or specific subgroup is important, as variations can result in misleading statistics.
  • Representative sampling: The demographic aspects like age, gender, lifestyle, and location need consideration to ensure the entire population of interest is represented.
  • Clear demarcation of subgroups: Like the 18-to-24-year-old group in the exercise, clearly identifying subgroups can help in pinpointing specific probabilities.


From a responsible poll data analysis perspective, applying the probability of texting while driving from a young age group to all drivers could cause significant misunderstandings and potential policy or regulatory missteps. Therefore, polling must be crafted to reflect these specific subgroup behaviors clearly.

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Most popular questions from this chapter

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