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A television sports commentator wants to estimate the proportion of citizens who​ "follow professional​ football." Compl

Posted: Wed May 11, 2022 5:08 pm
by answerhappygod
A television sports commentator wants to estimate the proportion
of citizens who​ "follow professional​ football." Complete parts​
(a) through​ (c).
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Question content area bottom Part 1 ​(a) What sample size should
be obtained if he wants to be within 2 percentage points with 96​%
confidence if he uses an estimate of 54​% obtained from a​ poll?
The sample size is enter your response here. ​(Round up to the
nearest​ integer.)
Part 2 ​(b) What sample size should be obtained if he wants to
be within 2 percentage points with 96​% confidence if he does not
use any prior​ estimates? The sample size is enter your response
here. ​(Round up to the nearest​ integer.)
Part 3 ​(c) Why are the results from parts​ (a) and​ (b) so​
close? A. The results are close because the margin of error 2​% is
less than​ 5%. B. The results are close because 0.54(1−0.54)=0.2484
is very close to 0.25. C. The results are close because the
confidence 96​% is close to​ 100%.