A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameter of interest and answer the question.Following the Republican National Convention, a poll of voters in a Central Illinois community showed that 57.0% 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 4.8 percentage points. Should the Democrats expect to lose Central Illinois?

A. 54.6% to 59.4%; yes
B. 57.0% to 61.8%; yes
C. 52.2% to 61.8%; yes
D. 47.4% to 57.0%; no


Answer: C

Mathematics

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