4. Lung cancer is the leading cause of cancer deaths in the United States. Suppose you want to estimate the 5-year survival rate (the proportion of patients surviving 5 years after diagonosis) to within 2% of the trur proportion with 95% confidence, how large a sample would you need (a) if 15% of all people who developed lung cancer survived 5 years according to CDC 2005 statistics. (b) if no information about the survival rate is available?

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**Lung Cancer Survival Rate Estimation**

Lung cancer is the leading cause of cancer deaths in the United States. Suppose you want to estimate the 5-year survival rate (the proportion of patients surviving 5 years after diagnosis) to within 2% of the true proportion with 95% confidence. How large a sample would you need?

(a) If 15% of all people who developed lung cancer survived 5 years according to CDC 2005 statistics.

(b) If no information about the survival rate is available?
Transcribed Image Text:**Lung Cancer Survival Rate Estimation** Lung cancer is the leading cause of cancer deaths in the United States. Suppose you want to estimate the 5-year survival rate (the proportion of patients surviving 5 years after diagnosis) to within 2% of the true proportion with 95% confidence. How large a sample would you need? (a) If 15% of all people who developed lung cancer survived 5 years according to CDC 2005 statistics. (b) If no information about the survival rate is available?
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