The Table Shows the Number Satisfied in Their Work in a Sample

question 4

Multiple Choice

The table shows the number satisfied in their work in a sample of working adults with a college education and in a sample of working adults without a college education. Assume that you plan to use a significance level of $\alpha = 0.05 \text { to test the claim that } \mathrm { p } _ { 1 } > \mathrm { p } _ { 2 }$ Find the critical value(s) for this hypothesis test. Do the data provide sufficient evidence that a greater proportion of those with a college education are satisfied in their work?
$\begin{array}{lcc}\hline & \text { College Education } & \text { No College Education } \\\hline \text { Number in sample } & 194 & 188 \\\text { Number satisfied in their work } & 74 & 70 \\\hline\end{array}$

• A) \(z = \pm 1.96\); no
• B) \(z = 1.96\); yes
• C) \(\mathrm { z } = 1.645\); no
• D) \(\mathrm { z } = - 1.645\); yes

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Definitions:

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A measure of the efficiency of all inputs used in the production process, including labor, capital, and materials.

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Feedback from customers or users indicating dissatisfaction with a product's or service's quality, which can inform improvements.

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A segment of the economy focused on the production of intangible goods, such as healthcare, education, and financial services.