In Exercises 9-20, use the data in the following table, which lists survey results from high school drivers at least 16 years of age (based on data from "Texting While Driv- ing and Other Risky Motor Vehicle Behaviors Among U.S. High School Students," by O'Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6). Assume that subjects are randomly selected from those included in the table. Hint: Be very careful to read the question correctly. Texted While Driving No Texting While Driving Drove When Drinking Alcohol? No Yes 731 156 3054 4564 14. Texting While Driving If two of the high school drivers are randomly selected, find the probability that they both texted while driving. a. Assume that the selections are made with replacement. Are the events independent? b. Assume that the selections are made without replacement. Are the events independent? c. Are the preceding results the same?

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**Educational Content on Survey Data Analysis**

In Exercises 9–20, refer to the data in the table below. This table presents survey results from high school drivers at least 16 years of age, based on data from “Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students” by O’Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6. It is assumed that subjects are randomly selected from those included in the table. **Hint:** Read the question carefully to ensure correct understanding.

**Table: Survey Results on Texting and Driving Under the Influence**

|                      | Drove When Drinking Alcohol? |     |     | 
|----------------------|------------------------------|-----|-----|
|                      | Yes                          | No  |     |
| Texted While Driving | 731                          | 3054|
| No Texting While Driving | 156                        | 4564|

**Analysis Questions:**

**14. Texting While Driving**

If two high school drivers are randomly selected, determine the probability of both having texted while driving.

a. Assume that the selections are made with replacement. Are the events independent?

b. Assume that the selections are made without replacement. Are the events independent?

c. Are the results from the two scenarios the same?

**Discussion:**

Engage with this data by exploring probabilities using the scenarios provided. Consider concepts such as independence and how sampling methods (with or without replacement) impact the calculated probabilities and interpretations.
Transcribed Image Text:**Educational Content on Survey Data Analysis** In Exercises 9–20, refer to the data in the table below. This table presents survey results from high school drivers at least 16 years of age, based on data from “Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students” by O’Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6. It is assumed that subjects are randomly selected from those included in the table. **Hint:** Read the question carefully to ensure correct understanding. **Table: Survey Results on Texting and Driving Under the Influence** | | Drove When Drinking Alcohol? | | | |----------------------|------------------------------|-----|-----| | | Yes | No | | | Texted While Driving | 731 | 3054| | No Texting While Driving | 156 | 4564| **Analysis Questions:** **14. Texting While Driving** If two high school drivers are randomly selected, determine the probability of both having texted while driving. a. Assume that the selections are made with replacement. Are the events independent? b. Assume that the selections are made without replacement. Are the events independent? c. Are the results from the two scenarios the same? **Discussion:** Engage with this data by exploring probabilities using the scenarios provided. Consider concepts such as independence and how sampling methods (with or without replacement) impact the calculated probabilities and interpretations.
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