Solve the Problem $\mathrm { P } _ { 1 } \not \subset \mathrm { P } 2$

Multiple Choice

Solve the problem.
-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
Α = 0.10 to test the claim that $\mathrm { P } _ { 1 } \not \subset \mathrm { P } 2$ 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) $z = \pm 1.28$ ; yes
B) $\mathrm { z } = \pm 1.645$ ; yes
C) $\mathrm { z } = \pm 1.96$ ; no
D) $\mathrm { z } = 1.28$ ; no