A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameterof interest and answer the question.
-A poll conducted the day before the student-body presidential election at a midwestern university showed that 53.0 percent favored Mario, the rest favoring Yin Ling. The margin of error was 5.0
Percentage points. Should Yin Ling have conceded the election?
A)48% to 53.0%; no
B)53.0% to 58%; yes
C)48% to 58%; no
D)50.5% to 55.5%; yes

Question

Quizplus · Accepted Answer

The confidence interval is calculated by subtracting and adding the margin of error to the sample statistic. Therefore, 53.0% ± 5.0% gives a range of 48% to 58%. Since this range includes values both below and above 50%, it's not certain that Mario would win, so Yin Ling should not have conceded.

A Sample Statistic and Margin of Error Are Given