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A Sample Statistic and Margin of Error Are Given 90%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%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 4.64.6 percentage points. Can we conclude that the CEO was lying?

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Definitions:

Purpose

The reason for which something is done or created or for which something exists.

Sampling Error

The difference between a sample statistic used to estimate a population parameter and the actual but unknown value of the parameter.

Generalizability

The extent to which findings from a study can be applied to larger populations or different contexts beyond the original study conditions.

Statistic

A numerical value that describes a sample characteristic, obtained from data analysis.

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