A randomly chosen group of 20,000 nonsmokers and one of 10,000 smokers were followed over a 10-year period. The following data relate the numbers of them that developed lung cancer during that period.
Smokers
|
Nonsmokers
|
Total
|
Lung cancer
|
62
|
14
|
76
|
No lung cancer
|
9,938
|
19,986
|
29,924
|
Total
|
10,000
|
20,000
|
30,000
|
Test the hypothesis that smoking and lung cancer are independent. Use the 1 percent level of significance.