/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 107 Smoking and social class (5.3) A... [FREE SOLUTION] | 91Ó°ÊÓ

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Smoking and social class (5.3) As the dangers of smoking have become more widely known, clear class differences in smoking have emerged. British government statistics classify adult men by occupation as "managerial and professional" \((43 \%\) of the population), "intermediate" \((34 \%),\) or "routine and manual" \((23 \%)\). A survey finds that \(20 \%\) of men in managerial and professional occupations smoke, \(29 \%\) of the intermediate group smoke, and \(38 \%\) in routine and manual occupations smoke. \({ }^{14}\) (a) Use a tree diagram to find the percent of all adult British men who smoke. (b) Find the percent of male smokers who have routine and manual occupations.

Short Answer

Expert verified
(a) 27.2% of all British men smoke. (b) 32.13% of male smokers are from routine and manual occupations.

Step by step solution

01

Define the Variables

First, let's define variables for each group:- Let \( M \) denote the percentage of the male population in "managerial and professional" occupations, which is \(43\%\).- Let \( I \) denote the percentage in "intermediate" occupations, which is \(34\%\).- Let \( R \) denote the percentage in "routine and manual" occupations, which is \(23\%\). The percentages of smokers in each group are \(20\%\), \(29\%\), and \(38\%\) respectively.
02

Calculate Overall Smoking Rate

Calculate the overall percentage of men who smoke using a weighted average based on the smoking rates in each group:\[\text{Overall Smokers} = (0.43 \times 0.20) + (0.34 \times 0.29) + (0.23 \times 0.38)\] Perform the calculations: - Men in "managerial and professional" occupations who smoke: \(0.43 \times 0.20 = 0.086 \text{ or } 8.6\%\).- Men in "intermediate" occupations who smoke: \(0.34 \times 0.29 = 0.0986 \text{ or } 9.86\%\).- Men in "routine and manual" occupations who smoke: \(0.23 \times 0.38 = 0.0874 \text{ or } 8.74\%\).Now, sum these to find the total percentage of adult men who smoke.
03

Sum the Percentages

Sum the percentages obtained from each group:\[\text{Percentage of Smokers} = 8.6 + 9.86 + 8.74 = 27.2\%\] So, \(27.2\%\) of all adult British men are smokers.
04

Calculate Routine and Manual Share of Smokers

Determine what percent of smokers are from the "routine and manual" group.Firstly, we need to find out how many people in this group are part of the total smoking population.\[\text{Smokers in Routine and Manual} = 0.23 \times 0.38 = 0.0874 \text{ or } 8.74\%\] Now divide this by the total smoking rate computed in Step 3 \(27.2\%\):\[\text{Proportion of Smokers who are Routine and Manual} = \frac{8.74}{27.2} \approx 0.321323529 \times 100 \approx 32.13\%\]
05

Conclusion

The percentage of male smokers who are from routine and manual occupations is approximately \(32.13\%\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Smoking Rates
Understanding smoking rates is crucial for identifying demographics at higher risk and developing effective public health initiatives. Smoking rates refer to the percentage of a particular group who smoke. In this exercise, we assessed the smoking rates among different occupational groups in Britain.

The smoking rates were:
  • Managerial and professional: 20% smokers.
  • Intermediate: 29% smokers.
  • Routine and manual: 38% smokers.
These rates highlight how certain job categories see varying levels of smoking habits. Recognizing these patterns allows health professionals to target smoking cessation efforts more effectively.
Social Class Differences
Social class plays a significant role in lifestyle behaviors, including smoking. In the United Kingdom, social class is often linked to educational background and income. This classification might affect smoking tendencies due to differing levels of health awareness and access to resources.

The exercise demonstrated distinct class differences in smoking habits:
  • "Managerial and professional" - 20% smoke, indicating this class might have better access to health education.
  • "Intermediate" - 29% smoke, which suggests a moderate level of exposure to smoking risks.
  • "Routine and manual" - 38% smoke, possibly reflecting lower educational attainment about health risks.
Understanding these differences aids in crafting tailored interventions to reduce smoking rates across all social strata.
Occupational Classification
Occupational classification segments individuals based on their job roles, often reflecting differences in economic status, education, and lifestyle. The British government categorizes occupations into several groups, which can show prevalent trends in associated behaviors like smoking.

In this exercise, three main classes were considered:
  • "Managerial and professional" - often higher income and higher education, potentially leading to lower smoking rates.
  • "Intermediate" - includes jobs like skilled trades, with moderate smoking rates.
  • "Routine and manual" - often lower income roles, exhibiting the highest smoking rates.
This classification helps in understanding how occupation influences health behaviors, ultimately guiding policy and interventions to target high-risk groups more effectively.
Probability Calculations
Probability calculations play a fundamental role in statistics by helping to determine the likelihood of certain outcomes. In our exercise, probability calculations were used to find out the total percentage of male smokers and the distribution of these smokers among different social classes.

The overall smoking rate was computed with a weighted average:\[\text{Overall Smokers} = (0.43 \times 0.20) + (0.34 \times 0.29) + (0.23 \times 0.38)\]This equation combines the likelihood of a person smoking with the proportion of each occupational group, resulting in a total of 27.2% smokers.

Further calculations helped identify the proportion of smokers within the routine and manual group, using:\[\text{Proportion of Routine Smokers} = \frac{8.74\%}{27.2\%} \approx 32.13\%\]This step demonstrates how probabilities can provide valuable insights into population behaviors, crucial for forming effective public health strategies.

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