A Sample Statistic and Margin of Error Are Given $90 \%$

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.
-The CEO of a company claims that $90 \%$ of its employees have very high job satisfaction. A poll of the company's employees revealed that 87 percent had very high job satisfaction with a margin of error of $4.6$ percentage points. Can we conclude that the CEO was lying?

A) $82.4 \%$ to $87 \%$ ; yes
B) $87 \%$ to $91.6 \%$ ; no
C) $82.4 \%$ to $91.6 \%$ ; no
D) $84.7 \%$ to $89.3 \%$ ; yes