Statistics: Informed Decisions Using Data, Books a la Carte Edition plus NEW MyLab Statistics with Pearson eText-- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134136783
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 14.2, Problem 15AYU
(a)
To determine
To explain: The reason to not construct the confidence or prediction intervals on the basis of estimated regression equation.
(b)
To determine
To construct: The 95% confidence interval.
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3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
Chapter 14 Solutions
Statistics: Informed Decisions Using Data, Books a la Carte Edition plus NEW MyLab Statistics with Pearson eText-- Access Card Package (5th Edition)
Ch. 14.1 - 1. Suppose a least-squares regression line is...Ch. 14.1 - 2. True or False: In a least-squares regression,...Ch. 14.1 - 3. In the least-squares regression model, yi =...Ch. 14.1 - 4. If H0: β1 = 0 is not rejected, what is the best...Ch. 14.1 - In Problems 5–10, use the results of Problems...Ch. 14.1 - In Problems 5–10, use the results of Problems...Ch. 14.1 - In Problems 5–10, use the results of Problems...Ch. 14.1 - In Problems 5–10, use the results of Problems...Ch. 14.1 - In Problems 5–10, use the results of Problems...Ch. 14.1 - In Problems 5–10, use the results of Problems...
Ch. 14.1 - 11. An Unhealthy Commute The following data...Ch. 14.1 - 12. Credit Scores An economist wants to determine...Ch. 14.1 - Prob. 13AYUCh. 14.1 - 14. Hurricanes The following data represent the...Ch. 14.1 - 15. Concrete As concrete cures, it gains...Ch. 14.1 - Prob. 16AYUCh. 14.1 - 17. Invest in Education Go to...Ch. 14.1 - 18. American Black Bears In 1969, Dr. Michael R....Ch. 14.1 - 19. CEO Performance (Refer to Problem 31 in...Ch. 14.1 - 20. Bear Markets (Refer to Problem 32, Section...Ch. 14.1 - 21. Age versus HDL Cholesterol A doctor wanted to...Ch. 14.1 - 22. The U.S. Population The following data...Ch. 14.1 - Prob. 23AYUCh. 14.1 - 24. The output shown was obtained from...Ch. 14.1 - 25. Influential Observations Zillow.com is a site...Ch. 14.1 - 26. Why is it important to perform graphical as...Ch. 14.1 - 27. What do the y-coordinates on the least-squares...Ch. 14.1 - 28. Why is it desirable to have the explanatory...Ch. 14.1 - 29. Why don't we conduct inference on the linear...Ch. 14.2 - 1. Intervals constructed about the predicted value...Ch. 14.2 - 2. Intervals constructed about the predicted value...Ch. 14.2 - In Problems 3–6, use the results of Problems 5–8...Ch. 14.2 - In Problems 3–6, use the results of Problems 5–8...Ch. 14.2 - Prob. 5AYUCh. 14.2 - Prob. 6AYUCh. 14.2 - Prob. 7AYUCh. 14.2 - Prob. 8AYUCh. 14.2 - Prob. 9AYUCh. 14.2 - Prob. 10AYUCh. 14.2 - Prob. 11AYUCh. 14.2 - Prob. 12AYUCh. 14.2 - Prob. 13AYUCh. 14.2 - Prob. 14AYUCh. 14.2 - Prob. 15AYUCh. 14.2 - Prob. 16AYUCh. 14.2 - 17. Putting It Together: Predicting Intelligence...Ch. 14.3 - Prob. 1AYUCh. 14.3 - Prob. 2AYUCh. 14.3 - Prob. 3AYUCh. 14.3 - Prob. 4AYUCh. 14.3 - Prob. 5AYUCh. 14.3 - Prob. 6AYUCh. 14.3 - Prob. 7AYUCh. 14.3 - Prob. 8AYUCh. 14.3 - Prob. 9AYUCh. 14.3 - Prob. 10AYUCh. 14.3 - 11. For the data...Ch. 14.3 - 12. For the data...Ch. 14.3 - Prob. 13AYUCh. 14.3 - Prob. 14AYUCh. 14.3 - Prob. 15AYUCh. 14.3 - Prob. 16AYUCh. 14.3 - Prob. 17AYUCh. 14.3 - Prob. 18AYUCh. 14.3 - Prob. 19AYUCh. 14.3 - Prob. 20AYUCh. 14.3 - Prob. 21AYUCh. 14.3 - Prob. 22AYUCh. 14.3 - Prob. 23AYUCh. 14.3 - Prob. 24AYUCh. 14.4 - Prob. 1AYUCh. 14.4 - Prob. 2AYUCh. 14.4 - Prob. 3AYUCh. 14.4 - Prob. 4AYUCh. 14.4 - Prob. 5AYUCh. 14.4 - Prob. 6AYUCh. 14.4 - Prob. 7AYUCh. 14.4 - Prob. 8AYUCh. 14.4 - Prob. 9AYUCh. 14.4 - Prob. 10AYUCh. 14.4 - Prob. 11AYUCh. 14.5 - Prob. 1AYUCh. 14.5 - Prob. 2AYUCh. 14.5 - Prob. 3AYUCh. 14.5 - Prob. 4AYUCh. 14.5 - Prob. 5AYUCh. 14.5 - Prob. 6AYUCh. 14.5 - Prob. 7AYUCh. 14.6 - Prob. 1AYUCh. 14.6 - Prob. 2AYUCh. 14.6 - 3. Housing Prices A realtor wanted to find a...Ch. 14.6 - Prob. 4AYUCh. 14.6 - Prob. 5AYUCh. 14.6 - Prob. 6AYUCh. 14.6 - Prob. 7AYUCh. 14.6 - Prob. 8AYUCh. 14 - Prob. 1RECh. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 1CTCh. 14 - Prob. 2CTCh. 14 - Prob. 3CTCh. 14 - Prob. 4CTCh. 14 - Prob. 5CTCh. 14 - 6. A nutritionist wants to develop a model that...Ch. 14 - During the early 2000s, the United States...
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