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

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