Example: A news article reported that 418 Pennsylvanians were surveyed about their opinions about insurance rates. Of th

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Example: A news article reported that 418 Pennsylvanians were
surveyed about their opinions
about insurance rates. Of the surveyed, 280 blamed rising insurance
rates on large court settlements
against doctors.
a) Construct a 95% confidence interval for the true proportion of
Pennsylvanians who blame
rising insurance rates on large court settlements against
doctors.
b) If we go back and take a look at the original article, the
newspaper's reported margin of
error is 4.8%. Why the difference?