Lying about age Pew Research, in November 2011,polled a random sample of 799 U.S. teens about Internet use. 49% of those teens reported that they had misrep-resented their age online to gain access to websites and online services.a) Find the margin of error for this poll if we want 95%confidence in our estimate of the percent of Americanteens who have misrepresented their age online.b) Explain what that margin of error means.c) If we only need to be 90% confident, will the marginof error be larger or smaller? Explain.d) Find that margin of error.e) In general, if all other aspects of the situation remainthe same, would smaller samples produce smaller orlarger margins of error?

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Lying about age Pew Research, in November 2011,
polled a random sample of 799 U.S. teens about Internet
use. 49% of those teens reported that they had misrep-
resented their age online to gain access to websites and
online services.
a) Find the margin of error for this poll if we want 95%
confidence in our estimate of the percent of American
teens who have misrepresented their age online.
b) Explain what that margin of error means.
c) If we only need to be 90% confident, will the margin
of error be larger or smaller? Explain.
d) Find that margin of error.
e) In general, if all other aspects of the situation remain
the same, would smaller samples produce smaller or
larger margins of error?
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