Many teens have posted profiles on a social-networking website.A sample survey in 2007 asked a random sample of teens with onlineprofiles if they included false information in their profiles. Of170 younger teens (aged 12 to 14), 113 said \"yes.\" Of 317 olderteens (aged 15 to 17), 150 said \"yes.\"
(a) Do these samples satisfy the guidelines for the large-sampleconfidence interval?
A.) No, because the sample sizes differ too much.
B.) Yes, because the samples are larger than 40.
C.) Yes, because the sample size is more than 5 in eachgroup.
D.) Yes, because the numbers of successes and failures are morethan 10 in both samples.
(part b) Give a 95% large sample confidence interval for thedifference between the proportions of younger and older teens whoinclude false information in their online profiles. (Use P younger− P older. Round your answers to four decimal places.)
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