Question

A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer.
Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer.

Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the Alpha = .05 level? (Use 2 decimal places.)

Tar Level Frequency

a. 0-7 107

b. 8-14 375

c. 15-21 500

d. 22 181

x2 =

Answer 1

Answer:

Check the explanation

Step-by-step explanation:

$H_0$:proportion of male smoker lung deaths is same for the four given tar level categories.

$H_1$:proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Tar level     Observed Freq.(O)        Expected Freq.(E)         (O-E)^2/E

0-7                         107                                   294.25                120.435

8-14                        375                                  294.25                5.643

15-21                       553                                 294.25                 227.533

>=22                       183                                  294.25                 42.061

Total=                    1177                                  1177                      395.673

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.