Baseball fans In a national poll taken in February 2008,Gallup asked 1006 adults whether they were baseballfans; 43% said they were. Two months previously, inDecember 2007, 40% of a similar-size sample hadreported being baseball fans.a) Find the margin of error for the 2008 poll if we want90% confidence in our estimate of the percent ofnational adults who are baseball fans.b) Explain what that margin of error means.c) If we wanted to be 99% confident, would 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, will smaller margins of error produce greateror less confidence in the interval?
Baseball fans In a national poll taken in February 2008,
Gallup asked 1006 adults whether they were baseball
fans; 43% said they were. Two months previously, in
December 2007, 40% of a similar-size sample had
reported being baseball fans.
a) Find the margin of error for the 2008 poll if we want
90% confidence in our estimate of the percent of
national adults who are baseball fans.b) Explain what that margin of error means.
c) If we wanted to be 99% confident, would 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, will smaller margins of error produce greater
or less confidence in the interval?
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