A Sample Statistic and Margin of Error Are Given

Multiple Choice

A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameterof interest and answer the question.
-Following the Republican National Convention, a poll of voters in a Central Illinois community showed that 58.1% would choose the Republican ticket to win over the Democrat ticket no matter
Whom the Democrats chose for vice-president. The margin of error was 4.2 percentage points.
Should the Democrats expect to lose Central Illinois?

A) 53.9% to 62.3%; yes
B) 49.7% to 58.1%; no
C) 58.1% to 62.3%; yes
D) 56% to 60.2%; yes