One of the early studies linking smoking and lung cancer compared patients hospitalized with lung cancer to similar patients without lung cancer (hospitalized for other reasons), and recorded whether each patient smoked. For a hypothesis test testing whether the proportion of smokers is higher for the patients with lung cancer than for patients without lung cancer, the p-value is less than 0.000001. Does this provide significant evidence that smoking causes lung cancer? cancer lung cancer not sure total smoking status smoker 647 622 1269 non-smoker 2 27 29 total 649 649 1298

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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One of the early studies linking smoking and lung cancer compared patients hospitalized with lung cancer to
similar patients without lung cancer (hospitalized for other reasons), and recorded whether each patient smoked.
For a hypothesis test testing whether the proportion of smokers is higher for the patients with lung cancer than
for patients without lung cancer, the p-value is less than 0.000001. Does this provide significant evidence that
smoking causes lung cancer?
cancer
lung cancer
not sure
total
smoking status
smoker
647
622
1269
non-smoker
total
2
649
27
649
29 1298
Study reference: Doll, R. & Hill, A.B. (1950) "Smoking and carcinoma of the lung: preliminary report", British
Medical Journal.
Whether or not we can conclude that smoking causes lung cancer depends on the statistical method the
researchers used to obtain the p-value.
No, with the given p-value we would fail to reject HO in favor of HA.
Yes, with the given p-value we would reject H0 in favor of HA, and conclude that smoking causes lung
cancer.
Based on this study we cannot conclude that smoking causes lung cancer,
regardless of the p-value.
Transcribed Image Text:One of the early studies linking smoking and lung cancer compared patients hospitalized with lung cancer to similar patients without lung cancer (hospitalized for other reasons), and recorded whether each patient smoked. For a hypothesis test testing whether the proportion of smokers is higher for the patients with lung cancer than for patients without lung cancer, the p-value is less than 0.000001. Does this provide significant evidence that smoking causes lung cancer? cancer lung cancer not sure total smoking status smoker 647 622 1269 non-smoker total 2 649 27 649 29 1298 Study reference: Doll, R. & Hill, A.B. (1950) "Smoking and carcinoma of the lung: preliminary report", British Medical Journal. Whether or not we can conclude that smoking causes lung cancer depends on the statistical method the researchers used to obtain the p-value. No, with the given p-value we would fail to reject HO in favor of HA. Yes, with the given p-value we would reject H0 in favor of HA, and conclude that smoking causes lung cancer. Based on this study we cannot conclude that smoking causes lung cancer, regardless of the p-value.
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