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

question 22

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

---

Definitions:

Milky Appearance

Describes a condition where a normally transparent or semi-transparent fluid, like oil or hydraulic fluid, has become cloudy, often due to contamination with water.

Aeration

The blending of a gas into a liquid such as the mixing of air into oil by the churning action of rotating gears.

Contamination

The presence of unwanted substances or impurities in a material or environment, which can degrade quality or performance.

Single Acting Cylinder

A type of hydraulic cylinder that is powered in one direction only, typically by pressurized fluid, and returns to its original position by an external force like gravity or a spring.