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 96 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 25%. How are the collection of all sample proportions of samples of size 96 distributed? N(, )

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Author:Amos Gilat
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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 96 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 25%.

    1. How are the collection of all sample proportions of samples of size 96 distributed?

      N(, )



    1. What is the probability that fewer than 22% of the patients studied survived for at least 5 years?

        • List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma.

      • There is a  chance that fewer than 22% of the patients studied survived for at least 5 years.



    1. What is the probability that more than 33% of the patients studied survived for at least 5 years?

        • List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma.

      • There is a  chance that more than 33% of the patients studied survived for at least 5 years.



  1. What is the probability that between 22% and 33% of the patients studied survived for at least 5 years?

      • List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma.

    • There is a  chance that between 22% and 33% of the patients studied survived for at least 5 years.
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