**Please show how to do by hand.   4) Social Media Usage. The Pew Research Center has conducted extensive research on social media usage. One finding, reported in June 2018, was that 78% of adults aged 18 to 25 use Snapchat. Another finding was that 45% of those aged 18 to 25 use Twitter. Assume the sample size of both findings is 500. Develop a 95% confidence interval for the proportion of adults aged 18 to 24 who use Snapchat. Develop a 99% confidence interval for the proportion of adults aged 18 to 24 who use Twitter. In which case, part (a) or part (b), is the margin of error larger? Explain why.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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**Please show how to do by hand.

 

4) Social Media Usage. The Pew Research Center has conducted extensive research on social media usage. One finding, reported in June 2018, was that 78% of adults aged 18 to 25 use Snapchat. Another finding was that 45% of those aged 18 to 25 use Twitter. Assume the sample size of both findings is 500.

  1. Develop a 95% confidence interval for the proportion of adults aged 18 to 24 who use Snapchat.
  2. Develop a 99% confidence interval for the proportion of adults aged 18 to 24 who use Twitter.
  3. In which case, part (a) or part (b), is the margin of error larger? Explain why.
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