The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute provides...
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The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute provides probabilities for a randomly chosen woman in her 60s who receives a mammogram to screen for breast cancer. Woman in her 60s Breast Cancer 0.0365 No Breast Cancer 0.9635 Positive Mammogram Result 0.85 a) Provide the following values: P(breast cancer) = P(no breast cancer) = P(+ mammogram | cancer) = P(- mammogram | cancer) = P(+ mammogram | no cancer) = Pl. mammogramino.cancer- Negative Mammogram Result 0.15 Positive Mammogram Result 0.05 Negative Mammogram Result 0.95 Use the descriptions and associated probabilities in the tree diagram above to answer and/or calculate the following: parts a-c (1 pt per answer, total of 8 pts), part d 4 points Use the descriptions and associated probabilities in the tree diagram above to answer and/or calculate the following: parts a-c (1 pt per answer, total of 8 pts), part d 4 points a) Provide the following values: P(breast cancer) = P(no breast cancer) = P(+ mammogram | cancer) = P(- mammogram | cancer) = P(+ mammogram | no cancer) = P(- mammogram | no cancer) = b) Which of the above probabilities is the sensitivity? c) Which of the above probabilities is the specificity? d) What is the Positive Predictive Value of the mammogram based on the data represented by the tree diagram? Be sure to show your calculations and provide an interpretation of the PPV. The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute provides probabilities for a randomly chosen woman in her 60s who receives a mammogram to screen for breast cancer. Woman in her 60s Breast Cancer 0.0365 No Breast Cancer 0.9635 Positive Mammogram Result 0.85 a) Provide the following values: P(breast cancer) = P(no breast cancer) = P(+ mammogram | cancer) = P(- mammogram | cancer) = P(+ mammogram | no cancer) = Pl. mammogramino.cancer- Negative Mammogram Result 0.15 Positive Mammogram Result 0.05 Negative Mammogram Result 0.95 Use the descriptions and associated probabilities in the tree diagram above to answer and/or calculate the following: parts a-c (1 pt per answer, total of 8 pts), part d 4 points Use the descriptions and associated probabilities in the tree diagram above to answer and/or calculate the following: parts a-c (1 pt per answer, total of 8 pts), part d 4 points a) Provide the following values: P(breast cancer) = P(no breast cancer) = P(+ mammogram | cancer) = P(- mammogram | cancer) = P(+ mammogram | no cancer) = P(- mammogram | no cancer) = b) Which of the above probabilities is the sensitivity? c) Which of the above probabilities is the specificity? d) What is the Positive Predictive Value of the mammogram based on the data represented by the tree diagram? Be sure to show your calculations and provide an interpretation of the PPV.
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Related Book For
Statistics The Art and Science of Learning from Data
ISBN: 978-0321755940
3rd edition
Authors: Alan Agresti, Christine A. Franklin
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