Interpretation Of Statistic: smoker mortality/total smokers = 1/5 ?

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Discussion Overview

The discussion revolves around the interpretation of statistics related to smoker mortality rates in the U.S. Participants analyze the claim that one in five cigarette smokers dies from smoking, examining the implications of annual death rates and the dynamics of the smoking population over time.

Discussion Character

  • Debate/contested
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant suggests that if 450,000 smokers die annually out of a steady population of 45,000,000, then over 20 years, 9,000,000 deaths would imply a 20% mortality rate, supporting the claim that one in five smokers dies from smoking.
  • Another participant counters that if the logic holds, it would imply that 100% of smokers would eventually die, which raises questions about the validity of the original claim.
  • Concerns are raised about the assumption of a steady smoking population, with one participant arguing that the number of starters and stoppers is crucial to understanding the statistics over time.
  • A participant draws an analogy with lottery winnings to illustrate that a consistent annual probability does not lead to a cumulative total over time, suggesting that the mortality rate should remain at 1% annually rather than increasing to 20% over 20 years.
  • Another participant reiterates the original claim while noting that deaths of former smokers should be included in the mortality statistics, and mentions that some studies report a higher fatality rate of one in three for smokers who do not quit.

Areas of Agreement / Disagreement

Participants express disagreement regarding the interpretation of the statistics and the implications of a steady smoking population. Multiple competing views remain on how to accurately assess the mortality rate of smokers over time.

Contextual Notes

There are limitations in the assumptions made about the smoking population's stability and the effects of quitting on mortality statistics. The discussion also highlights the variability in reported fatality rates among smokers.

Point Conception
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Is this a correct conclusion from these three facts ? One in five cigarette smokers dies from smoking.
There are about 45, 000,000 smokers in the U.S. There are about 450,000 smoker deaths/year from their smoking habit. So 450, 000/45,000,000 = 1% . So if the number of smokers (45,000,000/yr) is a steady state but the quantity of starters and stoppers/year is unknown. Is it correct to say that in any 20 year period that the 9,000,000 deaths/45,000,000 smokers = 20%, = the 1/5 statistic that one in five smokers dies from smoking ?
 
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If that logic were true, then in any 100 year period 100% of smokers would die.
 
Uhm, If the total smoking population is at a steady 45M and 450 000 die annually of smoking how is it that the number or starters or stoppers is unknown? Each year, statistically, you would need about 450 000 people to start smoking to keep that "steady state".
In a 20 year period there can't be only 45M smokers. What of the people that have come and gone?

Suppose one is an avid lottery addict and has worked out that each year after playing countless lotteries they have statistically won an N$ 10% of the time, would that mean that they will have won N$ in 10 years indefinitely?

In the same manner there could be statistics that each year 5% of some local population has purchased a new home. It doesn't mean that in 20 years all of the locals have bought a new home. As the years go on the probability of it happening goes up, but it won't increase to 1.

The way I see the original problem is that there is a 1% probability each year that N people out of M total, die of smoking. Therefore in 20 years' time it's still 1/100 unless there is a change of trend which is not mentioned.
Another way I could see it is that in 20 years the total number of people that are/have been/had been smoking is 45M + 20*450 000. Then, statistically, 9M out of 54M will have died. In a 100 year's time 45M out of 90M will have died, but there is a problem with this one, statistically in 1000 years 450M out of 495M will have died.

I would go with the ironclad statistics which states 1% of the total smokers dies each year, which won't change in 20 years, meaning in 20 years' time still 1/100 will have died.
 
Last edited:
morrobay said:
Is this a correct conclusion from these three facts ? One in five cigarette smokers dies from smoking.
There are about 45, 000,000 smokers in the U.S. There are about 450,000 smoker deaths/year from their smoking habit. So 450, 000/45,000,000 = 1%. So if the number of smokers (45,000,000/yr) is a steady state but the quantity of starters and stoppers/year is unknown. Is it correct to say that in any 20 year period that the 9,000,000 deaths/45,000,000 smokers = 20%, = the 1/5 statistic that one in five smokers dies from smoking ?
The deaths of former smokers who quit but later died of smoking related causes would be included as part of that 1 in 5 stat.

Note that the number of current adult smokers in the USA has been declining since 2002, despite the increase in population, so the percentage of the population who smoke has been also declining at an even greater rate (and since before 2002).

Note that some studies claim a smoker fatality rate of 1 in 3 (versus 1 in 5) for smokers, but this probably only includes smokers that never quit until dying of a smoking related condition.
 

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