Solve the Problem $\mathrm { P } _ { 1 } > \mathrm { P } 2$

question 130

Multiple Choice

Solve the problem.
-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 α
= 0) 05 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? $$\begin{array} { l c c } \hline & \text { College Education } & \text { No College Education } \\\hline \text { Number in sample } & 130 & 123 \\\text { Number satisfied in their work } & 58 & 50 \\\hline\end{array}$$

• A) z = 1.645; no
• B) z = -1.645; yes
• C) z = 1.96; yes
• D) z = ± 1.96; no

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Definitions:

Task Significance

The degree to which a job has a substantial impact on the lives of other people or is perceived as important and valuable.

Enriched Job

An employment design aimed at enhancing job satisfaction and performance by incorporating meaningful tasks, giving workers more autonomy, and offering opportunities for personal growth.

Job Dissatisfaction

A negative emotional state resulting from aspects of one’s job not meeting expectations or needs.

Cultural Diversity

The existence of a variety of cultural or ethnic groups within a society, enriching its social fabric.