Solution Found!
The article “HIV-positive Smokers Considering Quitting:
Chapter 5, Problem 4E(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.
a. Find a 95% confidence interval for the proportion of HIV-positive smokers who have used a nicotine patch.
b. Find a 99% confidence interval for the proportion of HIV-positive smokers who have used a nicotine patch.
c. Someone claims that the proportion is less than 0.40. With what level of confidence can this statement be made?
d. Find the sample size needed for a 95% confidence interval to specify the proportion to within \(\pm\)0.03.
e. Find the sample size needed for a 99% confidence interval to specify the proportion to within \(\pm\)0.03.
Questions & Answers
QUESTION:
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.
a. Find a 95% confidence interval for the proportion of HIV-positive smokers who have used a nicotine patch.
b. Find a 99% confidence interval for the proportion of HIV-positive smokers who have used a nicotine patch.
c. Someone claims that the proportion is less than 0.40. With what level of confidence can this statement be made?
d. Find the sample size needed for a 95% confidence interval to specify the proportion to within \(\pm\)0.03.
e. Find the sample size needed for a 99% confidence interval to specify the proportion to within \(\pm\)0.03.
ANSWER:Step 1 of 6
Given:
Total number of HIV-positive smokers surveyed,\(n = 444\).
Number of HIV-positive smokers who reported using a nicotine patch, \(x = 170\).