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The article “HIV-positive Smokers Considering Quitting:

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 4E Chapter 5.2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 4E

Problem 4E

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 ±0.03.

e. Find the sample size needed for a 99% confidence interval to specify the proportion to within ±0.03.

Step-by-Step Solution:

Solution:

Step 1 of 4:

An article says that 444 people survived from HIV. Of these,170 reported that they had used a nicotine patch.

We have to find

  1. 95% CI for the proportion of HIV-positive smokers who have used a nicotine patch.
  2.  99% CI for the proportion of HIV- positive smokers who have used a nicotine patch.
  3. With what level of confidence the the claim that the proportion is less than 0.40 made.
  4.  Find the sample size needed for 95% CI to specifies the proportion within .
  5. Find the sample size needed for 99% CI to specifies the proportion within  .

Step 2 of 4

Chapter 5.2, Problem 4E is Solved
Step 3 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

The answer to “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 ±0.03.________________e. Find the sample size needed for a 99% confidence interval to specify the proportion to within ±0.03.” is broken down into a number of easy to follow steps, and 131 words. This full solution covers the following key subjects: proportion, confidence, Positive, Find, smokers. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 4E from chapter: 5.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 4E from 5.2 chapter was answered, more than 642 students have viewed the full step-by-step answer.

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