A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years chance that fewer than 34% of the patients studied

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A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%.

1. How are the collection of all sample proportions of samples of size 138 distributed?
   
   Normal: [ _____ ]  ( ) [ _____ ]

2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years?

   - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.
     
     [ __________ ]

   - There is a [ _____ ] chance that fewer than 34% of the patients studied survived for at least 5 years.

3. What is the probability that more than 45% of the patients studied survived for at least 5 years?

   - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.
     
     [ __________ ]

   - There is a [ _____ ] chance that more than 45% of the patients studied survived for at least 5 years.

4. What is the probability that between 34% and 45% of the patients studied survived for at least 5 years?

   - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.
     
     [ __________ ]

   - There is a [ _____ ] chance that between 34% and 45% of the patients studied survived for at least 5 years.
Transcribed Image Text:A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? Normal: [ _____ ] ( ) [ _____ ] 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. [ __________ ] - There is a [ _____ ] chance that fewer than 34% of the patients studied survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. [ __________ ] - There is a [ _____ ] chance that more than 45% of the patients studied survived for at least 5 years. 4. What is the probability that between 34% and 45% of the patients studied survived for at least 5 years? - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. [ __________ ] - There is a [ _____ ] chance that between 34% and 45% of the patients studied survived for at least 5 years.
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Sample size(n)=138 proportion(p)=0.38

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