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a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage)

a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 90+U percent reliable, gestational diabetes affects U+1 percent of the population in our patient's age group, and that our test has a false positive rate of U+4 percent. Compute the following quantities based on this new information: (Assume population is 100,000) Part A: Fill out the table with the correct values. (2 decimals for percentages and whole numbers for totals table) Percentages Test Positive Test Negative (Disease) Total Affected by Blood Test Reliability False Positive Rate 6% 96% 8% Out of 100,000 Disease Present Disease Not Present (Test) Total Part B: Answer the following questions a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer= b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer Part C: Investigate and comment on the following situations: 1. If the number of people affected by disease increased, what would happen to the false positive and false negative values? What kind of conclusion could someone draw about the effectiveness of the test from that? 2. If the false positive rate went down, would that effect the false negative rate? 3. If the population went down to 10,000; do the results look any different? Are they better or worse?
Transcribed Image Text:Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 90+U percent reliable, gestational diabetes affects U+1 percent of the population in our patient's age group, and that our test has a false positive rate of U+4 percent. Compute the following quantities based on this new information: (Assume population is 100,000) Part A: Fill out the table with the correct values. (2 decimals for percentages and whole numbers for totals table) Percentages Test Positive Test Negative (Disease) Total Affected by Blood Test Reliability False Positive Rate 6% 96% 8% Out of 100,000 Disease Present Disease Not Present (Test) Total Part B: Answer the following questions a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer= b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer Part C: Investigate and comment on the following situations: 1. If the number of people affected by disease increased, what would happen to the false positive and false negative values? What kind of conclusion could someone draw about the effectiveness of the test from that? 2. If the false positive rate went down, would that effect the false negative rate? 3. If the population went down to 10,000; do the results look any different? Are they better or worse?
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