In April 2022, the Pew Research Center conducted a representative telephone survey to access whether U.S. teens felt overwhelmed by social media, and whether those results differed by gender. The results from the survey are summarized below: Overwhelmed Not Overwhelmed Total Boys 206 438 644 Girls 302 370 672 Total 508 808 1316 a. What is the overall (conservative) margin of error for this survey-give your answer to the nearest tenth of a percent. b. Find a 95% confidence interval for the percent of teens that felt overwhelmed to the nearest tenth of a percent
In April 2022, the Pew Research Center conducted a representative telephone survey to access whether U.S. teens felt overwhelmed by social media, and whether those results differed by gender. The results from the survey are summarized below: Overwhelmed Not Overwhelmed Total Boys 206 438 644 Girls 302 370 672 Total 508 808 1316 a. What is the overall (conservative) margin of error for this survey-give your answer to the nearest tenth of a percent. b. Find a 95% confidence interval for the percent of teens that felt overwhelmed to the nearest tenth of a percent
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In April 2022, the Pew Research Center conducted a representative telephone survey to access whether U.S. teens felt overwhelmed by social media, and whether those results differed by gender. The results from the survey are summarized below:

Transcribed Image Text:Conditions check:
Test statistic and P-value:
Decision:
Conclusion in context:

Transcribed Image Text:### Survey on Teens' Feelings of Overwhelmed by Social Media
In April 2022, the Pew Research Center conducted a representative telephone survey to determine whether U.S. teens felt overwhelmed by social media, and whether those results differed by gender. The summarized results from the survey are as follows:
| Feeling | Boys | Girls | Total |
|------------------|------|-------|-------|
| Overwhelmed | 206 | 302 | 508 |
| Not Overwhelmed | 438 | 370 | 808 |
| Total | 644 | 672 | 1316 |
#### a. Overall (Conservative) Margin of Error for the Survey
- **Question**: What is the overall (conservative) margin of error for this survey—give your answer to the nearest tenth of a percent.
#### b. 95% Confidence Interval for the Percent of Teens Feeling Overwhelmed
- **Question**: Find a 95% confidence interval for the percent of teens that felt overwhelmed to the nearest tenth of a percent.
These questions aim to critically assess the statistical reliability and significance of the survey results, contributing to a deeper understanding of the data provided.
### Graphs or Diagrams
The table provides the numerical data for the survey, categorized by gender and whether they feel overwhelmed by social media or not.
- **Rows**: Represent the feelings of being overwhelmed or not overwhelmed.
- **Columns**: Separate the data by gender (Boys, Girls) and provide combined totals.
This structured format helps in clearly visualizing the distribution of responses and comparing the data across different groups.
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