Answer Happy

A television sports commentator wants to estimate the proportion
of citizens who​ "follow professional​ football."
Complete parts​ (a) through​ (c).
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Part 1
​(a) What sample size should be obtained if he wants to be
within 3 percentage points with 96​% confidence
if he uses an estimate of 48​% 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 3 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 confidence 96​% is
close to​ 100%.
B.The results are close because 0.48(1−0.48)=0.2496 is
very close to 0.25.
C.The results are close because the margin of
error 3​% is less than​ 5%.