The Table Shows the Number of Smokers in a Random $20 - 24$

Multiple Choice

The table shows the number of smokers in a random sample of 500 adults aged $20 - 24$ and the number of smokers in a random sample of 450 adults aged 25-29. Assume that you plan to use a significance level of $\alpha = 0.10$ to test the claim that $\mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 }$ . Find the critical value(s) for this hypothesis test. Do the data provide sufficient evidence that the proportion of smokers in the 20-24 age group is different from the proportion of smokers in the 25-29 age group?
$\begin{array}{lcc}\hline & \text { Age 20-24 } & \text { Age 25-29 } \\\hline \text { Number in sample } & 500 & 450 \\\text { Number of smokers } & 110 & 63 \\\hline\end{array}$

A) $\mathrm { z } = \pm 1.28$ ; yes
B) $z = \pm 1.645$ ; yes
C) $\mathrm { z } = 1.28$ ; no
D) $z = \pm 1.96$ ; no