Due to the popularity of instant messaging and social networking, informal elements such as emoticons (e.g., the symbol ":)" to represent a smile) and abbreviations (e.g., "LOL" for "laughing out loud") have worked their way into teenagers' school writing assignments. A survey interviewed 900 randomly selected teenagers by telephone on their writing habits. Overall, 449 of the teenagers admitted using at least one informal element in school writing assignments. Based on the survey results, construct a 90% confidence interval for the proportion of all teenagers who have used at least one informal element in school writing assignments. Give a practical interpretation of the interval. The 90% confidence interval is (.). (Round to three decimal places as needed.)

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### Informal Elements in Teenagers’ Writing: A Survey Analysis

**Introduction:**
With the rise of instant messaging and social networking, informal elements such as emoticons (e.g., the symbol ":)" to represent a smile) and abbreviations (e.g., "LOL" for "laughing out loud") have started to appear in teenagers' school writing assignments. 

**Survey Methodology:**
A survey was conducted involving 900 randomly selected teenagers, who were interviewed by telephone about their writing habits. 

**Key Findings:**
- 449 out of the 900 teenagers admitted to using at least one informal element in their school writing assignments.

**Task:**
Using the survey results, we aim to construct a 90% confidence interval for the proportion of all teenagers who have used at least one informal element in their school writing assignments.

**Interpretation of the Interval:**
The resulting confidence interval provides a range within which we can be 90% confident that the true proportion of teenagers using informal elements in school writing lies.

**Confidence Interval Calculation:**
The 90% confidence interval is provided in the blanks [] [].

*(Round to three decimal places as needed.)*

**Additional Resources:**
For assistance with constructing confidence intervals and understanding their practical significance, refer to our [Confidence Interval Guide (insert relevant link)].
Transcribed Image Text:### Informal Elements in Teenagers’ Writing: A Survey Analysis **Introduction:** With the rise of instant messaging and social networking, informal elements such as emoticons (e.g., the symbol ":)" to represent a smile) and abbreviations (e.g., "LOL" for "laughing out loud") have started to appear in teenagers' school writing assignments. **Survey Methodology:** A survey was conducted involving 900 randomly selected teenagers, who were interviewed by telephone about their writing habits. **Key Findings:** - 449 out of the 900 teenagers admitted to using at least one informal element in their school writing assignments. **Task:** Using the survey results, we aim to construct a 90% confidence interval for the proportion of all teenagers who have used at least one informal element in their school writing assignments. **Interpretation of the Interval:** The resulting confidence interval provides a range within which we can be 90% confident that the true proportion of teenagers using informal elements in school writing lies. **Confidence Interval Calculation:** The 90% confidence interval is provided in the blanks [] []. *(Round to three decimal places as needed.)* **Additional Resources:** For assistance with constructing confidence intervals and understanding their practical significance, refer to our [Confidence Interval Guide (insert relevant link)].
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