Question

In: Statistics and Probability

This data table lists the most common types of cancer in the United States, and includes...

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.

Solutions

Expert Solution

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.


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