In: Statistics and Probability
This data table lists the most common types of cancer in the United States, and includes information on the known or likely carcinogens, estimated cases per year, and estimated deaths per year in 2014.
Cancer in the United States (Ranked by number of cases) | |||
Cancer | Known or Likely Carcinogenes or Factors | Estimated cases (2014) | Estimated deaths (2014) |
Breast | Estrogen; possibly dietary fat | 235,000 | 40,400 |
Prostate | Testosterone; possibly dietary fat | 233,000 | 29,500 |
Lung | Cigarette smoke | 224,000 | 159,000 |
Colon and rectum | High dietary fat; low dietary fiber | 136,800 | 50,310 |
Skin | Ultraviolet light | 81,200 | 13,000 |
Lymphomas | Viruses (for some types) | 80,000 | 20,100 |
Bladder | Cigarette smoke | 74,700 | 15,600 |
Uterus | Estrogen | 65,000 | 12,600 |
Kidney | Cigarette smoke | 63,900 | 13,900 |
Leukemias | X-rays; benzene; viruses (for some types) | 52,400 | 24,100 |
Pancreas | Cigarette smoke | 46,400 | 39,600 |
Liver | Alcohol; hepatitis viruses | 33,200 | 23,000 |
Brain and nerve | Trauma; X-rays | 23,400 | 14,300 |
Stomach | Table salt; cigarette smoke | 22,200 | 11,000 |
Ovary | Large number of ovulation cycles | 22,000 | 14,300 |
Cervix | Viruses; cigarette smoke | 12,400 | 4,000 |
All other types | 259,940 | 101,010 | |
Total |
1,665,540 |
Use the data table and your knowledge of cancer to identify which statements are true.
Select all that apply.
The combined survivability of all types of cancer is about 65%. |
Lung cancer is more deadly than cancer of the pancreas. |
Cancers with higher numbers of cases will have higher deadliness percentages. |
Reducing risk factors might decrease the number of cancer cases, but would be unlikely to decrease the cancer deadliness percentages. |
Cancer of the cervix is the most survivable type of cancer. |
We first compute the death rates and survival rates for each type of cancer as:
Death Rate = Estimated Deaths / Estimated cases
Survival rate = 1 - Death rate.
This is shown in percentage terms in the following table:
From the above table, we can see that the total survival rate is 64.83% close to 65%
Therefore a) is correct.
Now for lung cancer, death rate is 71% and for pancreas cancer the death rate is 85.34%
Therefore pancreas cancer is more deadly here.
Therefore b) is incorrect
Now after this Using the CORREL function in EXCEL, the correlation coefficient was computed between the total number of estimated cases and the death rate array. The correlation coefficient came out to be - 0.283 which is a slight negative correlation.
Therefore c) is also incorrect
Reducing risk factors not only decrease the estimated cases of cancer but also the deadliness and therefore the death rates due to cancer.
Therefore d) is also incorrect.
Cancer of Protrate has a survival rate of more than 87% which is much more thatn the survival rate in case of cancer of Cervix ( 61.14% )
Therefore e) is also incorrect.