The table to the right is based on the assumption that 1% of breast tumors are malignant. It also assumes that mammogram screening is 90% accurate Complete parts (a) through (c) below. a. Suppose a patient has a positive mammogram. What is the chance that she really has cancer? % (Type an integer or decimal rounded to the nearest tenth as needed.) b. What is the chance of a positive mammogram, given that the patient has cancer? (Type an integer or decimal rounded to the nearest tenth as needed.) c. Suppose a patient has a negative mammogram. What is the chance that she actually does have cancer? (Type an integer or decimal rounded to the nearest hundredth as needed.) Positive Mammogram Negative Mammogram Total Tumor is Tumor is Malignant Benign 90 1369 10 100 Total ✩ 1459 8531 8541 9900 10,000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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The table to the right is based on the assumption that 1% of breast tumors are malignant. It also
assumes that mammogram screening is 90% accurate Complete parts (a) through (c) below.
a. Suppose a patient has a positive mammogram. What is the chance that she really has cancer?
%
(Type an integer or decimal rounded to the nearest tenth as needed.)
b. What is the chance of a positive mammogram, given that the patient has cancer?
(Type an integer or decimal rounded to the nearest tenth as needed.)
c. Suppose a patient has a negative mammogram. What is the chance that she actually does have cancer?
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Positive
Mammogram
Negative
Mammogram
Total
Tumor is Tumor is
Malignant Benign
90
1369
10
100
Total
4
1459
8531 8541
9900 10,000
Transcribed Image Text:The table to the right is based on the assumption that 1% of breast tumors are malignant. It also assumes that mammogram screening is 90% accurate Complete parts (a) through (c) below. a. Suppose a patient has a positive mammogram. What is the chance that she really has cancer? % (Type an integer or decimal rounded to the nearest tenth as needed.) b. What is the chance of a positive mammogram, given that the patient has cancer? (Type an integer or decimal rounded to the nearest tenth as needed.) c. Suppose a patient has a negative mammogram. What is the chance that she actually does have cancer? (Type an integer or decimal rounded to the nearest hundredth as needed.) Positive Mammogram Negative Mammogram Total Tumor is Tumor is Malignant Benign 90 1369 10 100 Total 4 1459 8531 8541 9900 10,000
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