Solve the Problem $\mathrm { E }$ With a Confidence Level Of

question 51

Multiple Choice

Solve the problem.
-The sample size needed to estimate the difference between two population proportions to within a margin of error $\mathrm { E }$ with a confidence level of $1 - \alpha$ can be found as follows: in the expression
$$E = z _ { \alpha / 2} \sqrt { \frac { p _ { 1 } q _ { 1 } } { \mathrm { n } _ { 1 } } + \frac { \mathrm { p } _ { 2 } \mathrm { q } _ { 2 } } { \mathrm { n } _ { 2 } } }$$
replace $\mathrm { n } _ { 1 }$ and $\mathrm { n } _ { 2 }$ by $\mathrm { n }$ (assuming both samples have the same size) and replace each of $\mathrm { p } _ { 1 } , \mathrm { q } _ { 1 } , \mathrm { p } _ { 2 }$ , and $\mathrm { q } _ { 2 }$ by $0.5$ (because their values are not known) . Then solve for $n$ .

Use this approach to find the size of each sample if you want to estimate the difference between the proportions . and women who plan to vote in the next presidential election. Assume that you want $99 \%$ confidence that your no more than $0.03$ .

• A) 3017
• B) 2135
• C) 3685
• D) 1432

Understand the impacts of substance abuse on health and relationships.

Realize the importance of health awareness and proactive management in preventing disease and maintaining wellness.

Identify the risks associated with sugar and refined carbohydrates consumption.

Recognize the signs and consequences of codependency in relationships affected by addiction.

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Definitions:

External Benefit

A positive effect experienced by a third party due to an economic transaction they were not directly involved in.

Copper Mining

The process of extracting copper from the Earth, which is a crucial resource for electrical wiring, plumbing, and various alloys.

Water Users

Individuals or groups that utilize water resources for purposes such as agriculture, industry, or domestic use.

Marginal Social Benefit

The incremental value for society resulting from the creation of an additional unit of a good or service.