A Sample Statistic and Margin of Error Are Given $15 \%$

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.
-Ten years ago, according to government records, 17% of the population of Elmwood had no health insurance. This year a poll revealed that 20.6% were without insurance. The margin of error was 2.8 percentage points. Find a confidence interval for the true percentage without insurance this Year. Can we conclude that the percentage without insurance has increased from ten years ago?

A) $15 \%$ to $20.6 \%$ ; no
B) $20.6 \%$ to $23.4 \%$ ; yes
C) $19.2 \%$ to $22 \%$ ; yes
D) $17.8 \%$ to $23.4 \%$ ; yes