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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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:
Conditions check:
Test statistic and Pvalue:
Decision:
Conclusion in context:
Transcribed Image Text:Conditions check: Test statistic and Pvalue: Decision: Conclusion in context:
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
Transcribed Image Text: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
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