Hi tutor, please assist in this 2 Part MCQ Question, thank you! A researcher wishes to examine the impact that smoking has on the risk of getting lung cancer in Town X. Town X has a population of 500,000 people, of which 5,780 people have lung cancer, whilst the rest do not. He randomly sampled 10% of the people with lung cancer and 20% of the people without lung cancer and enquires about their smoking history. From here we assume the following The number of people with lung cancer is accurate and known to the researcher. All the sampled participants agreed to participate in the researcher’s study. All participants gave truthful responses regarding their smoking history.  The results are summarized in the contingency table below.   Lung cancer No lung cancer Row total Smokers 457 20,246 20,703 Non-smokers 121 78,598 78,719 Column total 578 98,844 99,422 Part A: Based on the above scenario, which of the following statements is/are true? (I) The sample risk ratio of lung cancer between smokers and non-smokers does not give a good estimate of the population risk ratio. (II) The sample odds ratio of lung cancer between smokers and non-smokers gives a good estimate of the population odds ratio. a) (I) only b) (II) only c) Both (I) and (II) d) Neither (I) nor (II) Part B: What is the sample risk ratio for lung cancer between smokers and non-smokers, correct to 1 decimal place? (Based on the table given above) a) 14.4 b) 14.7 c) The sample risk ratio cannot be calculated in this scenario as this is a case-control study. d) The sample risk ratio cannot be calculated in this scenario as this is a cohort study

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Hi tutor, please assist in this 2 Part MCQ Question, thank you!

A researcher wishes to examine the impact that smoking has on the risk of getting lung cancer in Town X. Town X has a population of 500,000 people, of which 5,780 people have lung cancer, whilst the rest do not. He randomly sampled 10% of the people with lung cancer and 20% of the people without lung cancer and enquires about their smoking history. From here we assume the following

  • The number of people with lung cancer is accurate and known to the researcher.
  • All the sampled participants agreed to participate in the researcher’s study.
  • All participants gave truthful responses regarding their smoking history.

 The results are summarized in the contingency table below.

 

Lung cancer

No lung cancer

Row total

Smokers

457

20,246

20,703

Non-smokers

121

78,598

78,719

Column total

578

98,844

99,422

Part A: Based on the above scenario, which of the following statements is/are true?

(I) The sample risk ratio of lung cancer between smokers and non-smokers does not give a good estimate of the population risk ratio.
(II) The sample odds ratio of lung cancer between smokers and non-smokers gives a good estimate of the population odds ratio.

a) (I) only
b) (II) only
c) Both (I) and (II)
d) Neither (I) nor (II)

Part B: What is the sample risk ratio for lung cancer between smokers and non-smokers, correct to 1 decimal place? (Based on the table given above)

a) 14.4
b) 14.7
c) The sample risk ratio cannot be calculated in this scenario as this is a case-control study.
d) The sample risk ratio cannot be calculated in this scenario as this is a cohort study.

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