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

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Definitions:

Wholeness

The state of forming a complete and harmonious whole; unity.

Idealization

A psychological or social process of attributing overly positive qualities to another person or thing, often ignoring the possible negative aspects.

Locsin

Refers to Rozzano Locsin, a nursing theorist known for his contributions to the understanding of technology and caring in nursing.

Objectification

The treatment of a person or group as an object, stripping them of their autonomy, agency, or individuality.