Concept explainers
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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