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Based on a sample of approximately 600 nonsmokers and 200 smokers, estimate the true difference between the proportions choosing "banned". (Use 95% confidence level)

Based on a sample of approximately 600 nonsmokers and 200 smokers, estimate the true difference between the proportions choosing "banned". (Use 95% confidence level)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**The Notion of Banning Smoking in Workplaces** The consideration of banning smoking in workplaces has been a topic of discussion for many years. In a Time/Yankelovich poll conducted on April 6-7, 1994, involving 800 adult Americans, participants were asked: "Should smoking be banned from workplaces, should there be special smoking areas, or should there be no restrictions?" **Poll Results:** | | Nonsmokers | Smokers | |----------------------|------------|---------| | Banned | 44% | 8% | | Special areas | 52% | 80% | | No restrictions | 3% | 11% | **Interpretation of the Table:** - **Banned:** 44% of nonsmokers supported banned smoking in workplaces, compared to only 8% of smokers. - **Special areas:** 52% of nonsmokers and a significant 80% of smokers favored the creation of special smoking areas. - **No restrictions:** A small proportion of nonsmokers (3%) favored no restrictions, while 11% of smokers held this view. **Statistical Analysis:** Using a sample size of approximately 600 nonsmokers and 200 smokers, the task is to estimate the true difference between the proportions who prefer smoking to be "banned" with a 95% confidence level.
Transcribed Image Text:**The Notion of Banning Smoking in Workplaces** The consideration of banning smoking in workplaces has been a topic of discussion for many years. In a Time/Yankelovich poll conducted on April 6-7, 1994, involving 800 adult Americans, participants were asked: "Should smoking be banned from workplaces, should there be special smoking areas, or should there be no restrictions?" **Poll Results:** | | Nonsmokers | Smokers | |----------------------|------------|---------| | Banned | 44% | 8% | | Special areas | 52% | 80% | | No restrictions | 3% | 11% | **Interpretation of the Table:** - **Banned:** 44% of nonsmokers supported banned smoking in workplaces, compared to only 8% of smokers. - **Special areas:** 52% of nonsmokers and a significant 80% of smokers favored the creation of special smoking areas. - **No restrictions:** A small proportion of nonsmokers (3%) favored no restrictions, while 11% of smokers held this view. **Statistical Analysis:** Using a sample size of approximately 600 nonsmokers and 200 smokers, the task is to estimate the true difference between the proportions who prefer smoking to be "banned" with a 95% confidence level.
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