Cyberbullying In 2018, the Pew Research Center did a study on cyberbullying. A sample of 743 teens were asked if they had ever experienced any of the below 6 types of cyberbullying while online or via their cellphone. Those who selected yes to one or more of these questions were considered to be a target of cyberbullying. (Source: Pew Research Center, September 2018, "A Majority of Teens Have Experienced Some Form of Cyberbullying") Offensive name-calling Spreading of false rumors Receiving explicit images they didn't ask for Constant asking of where they are, what they're doing, who they're with, by someone other than a parent Physical threats Having explicit images of them shared without their consent a.) A total of 446 of the sampled teens were considered a target of cyberbullying. Find a 94% confidence level for the proportion of all teens in the U.S. who are a target of cyberbullying. (Round answers to three decimal places.) margin of error: lower limit: upper limit: b.) What conditions were met so the results are valid? (Select all that apply.) The number of trials should be sufficiently large so that nˆp>5np^>5 and nˆq>5nq^>5. σσ is unknown cyberbullying needs to be normally distributed The experiment has to be a binomial experiment cyberbullying needs to be uniformly distributed σσ is known c.) Interpret: We are % confident that the proportion of all teens in the U.S. who are a target of cyberbullying is between % and %.

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Cyberbullying In 2018, the Pew Research Center did a study on cyberbullying. A sample of 743 teens were asked if they had ever experienced any of the below 6 types of cyberbullying while online or via their cellphone. Those who selected yes to one or more of these questions were considered to be a target of cyberbullying. (Source: Pew Research Center, September 2018, "A Majority of Teens Have Experienced Some Form of Cyberbullying")

  1. Offensive name-calling
  2. Spreading of false rumors
  3. Receiving explicit images they didn't ask for
  4. Constant asking of where they are, what they're doing, who they're with, by someone other than a parent
  5. Physical threats
  6. Having explicit images of them shared without their consent

a.) A total of 446 of the sampled teens were considered a target of cyberbullying. Find a 94% confidence level for the proportion of all teens in the U.S. who are a target of cyberbullying. (Round answers to three decimal places.)

margin of error:
lower limit:
upper limit:


b.) What conditions were met so the results are valid? (Select all that apply.)

  • The number of trials should be sufficiently large so that nˆp>5np^>5 and nˆq>5nq^>5.
  • σσ is unknown
  • cyberbullying needs to be normally distributed
  • The experiment has to be a binomial experiment
  • cyberbullying needs to be uniformly distributed
  • σσ is known



c.) Interpret: We are % confident that the proportion of all teens in the U.S. who are a target of cyberbullying is between % and %.

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