[All Steps] The Congressional Budget Office reports that 36 \% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal).


Question: The Congressional Budget Office reports that \(36 \%\) of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 120 employees in the private sector showed that 33 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use \(\alpha=0.05\).

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