1. The Journal of the National Cancer Institute published the following results from a study they conducted. They randomly selected American adult males. Using the data, calculate the following, if a adult male is randomly selected. a. Find the probability that the male never smoked and died from Cancer. b. Find the probability that the male was a,current smoker and died from Cancer. c. Find the probability that the male died from Cancer given he never smoked. d. Find the probability that the male died from Cancer given he was a current smoker. e. Compare the probabilities in parts a and b and the probabilities in parts c and d. In one or two sentences interpret the comparisons and the relationship between smoking and cancer. Table 1: Smoking and Cancer Died From Cancer Did not die from Cancer Totals Never Smoked 773 138884 Former Smoker 181 8557 Current Smoker 296 6015 Totals 154706
1. The Journal of the National Cancer Institute published the following results from a study they conducted. They randomly selected American adult males. Using the data, calculate the following, if a adult male is randomly selected. a. Find the probability that the male never smoked and died from Cancer. b. Find the probability that the male was a,current smoker and died from Cancer. c. Find the probability that the male died from Cancer given he never smoked. d. Find the probability that the male died from Cancer given he was a current smoker. e. Compare the probabilities in parts a and b and the probabilities in parts c and d. In one or two sentences interpret the comparisons and the relationship between smoking and cancer. Table 1: Smoking and Cancer Died From Cancer Did not die from Cancer Totals Never Smoked 773 138884 Former Smoker 181 8557 Current Smoker 296 6015 Totals 154706
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
Transcribed Image Text:### Smoking and Cancer Study
The Journal of the National Cancer Institute published findings from a recent study they conducted on the impact of smoking on cancer mortality. They randomly selected American adult males for the study. Using the provided data, answer the following questions based on the probability calculations if an adult male is randomly selected:
1. **Questions:**
a. Find the probability that a male never smoked and died from cancer.
b. Find the probability that a male was a current smoker and died from cancer.
c. Find the probability that a male died from cancer given he never smoked.
d. Find the probability that a male died from cancer given he was a current smoker.
e. Compare the probabilities in parts **a** and **b**, and the probabilities in parts **c** and **d**. In one or two sentences interpret the comparisons and the relationship between smoking and cancer.
2. **Data Table:**
**Table 1: Smoking and Cancer**
| Smoking Status | Died From Cancer | Did Not Die from Cancer | Totals |
|-------------------|------------------|-------------------------|---------|
| Never Smoked | 773 | 138,884 | |
| Former Smoker | 181 | 8,557 | |
| Current Smoker | 296 | 6,015 | |
| **Totals** | | | 154,706 |
**Explanation of Table:**
- **Never Smoked:** Out of the sampled population, 773 males who never smoked died from cancer, whereas 138,884 males who never smoked did not die from cancer.
- **Former Smoker:** 181 males who were former smokers died from cancer, while 8,557 did not die from cancer.
- **Current Smoker:** Among current smokers, 296 died from cancer, and 6,015 did not die from cancer.
- **Totals:** The total number of subjects in the study is 154,706.
**Next Steps:**
- Use the data from Table 1 to perform the probability calculations for each of the questions.
- Analyze the relationship between smoking status and cancer mortality by comparing your calculated probabilities.
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