The article HIV-positive Smokers Considering Quitting: Differences by Race/Ethnicity (E

Chapter 5, Problem 4

(choose chapter or problem)

The article “HIV-positive Smokers Considering Quitting: Differences by Race/Ethnicity” (E. Lloyd-

Richardson, C. Stanton, et al., Am J Health Behav, 2008:3–15) surveyed 444 HIV-positive smokers. Of these, 170 reported that they had used a nicotine patch. Consider this to be a simple random sample.

Find a \(95 \%\) confidence interval for the proportion of HIV-positive smokers who have used a nicotine patch.

Find a \(99 \%\) confidence interval for the proportion of HIV-positive smokers who have used a nicotine patch.

Someone claims that the proportion is less than 0.40. With what level of confidence can this statement be made?

Find the sample size needed for a \(95 \%\) confidence interval to specify the proportion to within \(\pm 0.03\).

Find the sample size needed for a \(99 \%\) confidence interval to specify the proportion to within \(\pm 0.03\).

Equation Transcription:

 

 

 

       

     

 

Text Transcription:

95%  

99%  

95%  

\pm 0.03      

99%    

\pm 0.03