2. [Chemotheraphy] A cancer specialist believes that the 5-year survival rate of certain cancer patients can be improved if chemother- apy treatment is extended from 1 year to 1.5 years. She treated 40 such patients for 1.5 years and found that among the 40 patients, 15 did not survive the 5-year period. Let p be the 5-year survival rate for patients with 1.5 year chemotherapy treatment. Construct a 99% confidence interval for p. Make sure that you verify the sample size condition (a) first. Keep the third decimal place in your final answer. Calculate the sample size that the specialist would need such that the margin of error for the 99% (b) confidence interval for p will be less than or equal to 0.1.

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2. [Chemotheraphy]
A cancer specialist believes that the 5-year survival rate of certain cancer patients can be improved if chemother-
apy treatment is extended from 1 year to 1.5 years. She treated 40 such patients for 1.5 years and found that
among the 40 patients, 15 did not survive the 5-year period. Let p be the 5-year survival rate for patients with
1.5 year chemotherapy treatment.
(a)
first. Keep the third decimal place in your final answer.
Construct a 99% confidence interval for p. Make sure that you verify the sample size condition
(b)
confidence interval for p will be less than or equal to 0.1.
Calculate the sample size that the specialist would need such that the margin of error for the 99%
Transcribed Image Text:2. [Chemotheraphy] A cancer specialist believes that the 5-year survival rate of certain cancer patients can be improved if chemother- apy treatment is extended from 1 year to 1.5 years. She treated 40 such patients for 1.5 years and found that among the 40 patients, 15 did not survive the 5-year period. Let p be the 5-year survival rate for patients with 1.5 year chemotherapy treatment. (a) first. Keep the third decimal place in your final answer. Construct a 99% confidence interval for p. Make sure that you verify the sample size condition (b) confidence interval for p will be less than or equal to 0.1. Calculate the sample size that the specialist would need such that the margin of error for the 99%
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