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

question 226

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

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