Principles of Economics 2e
2nd Edition
ISBN: 9781947172364
Author: Steven A. Greenlaw; David Shapiro
Publisher: OpenStax
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Textbook Question
Chapter 25, Problem 21CTQ
Do you think the
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2. Question
The 'Democratic Family' consists of three members {mother m, father f, daughter
d}, that have different preferences with respect to how much money X € [0,8]
they think should be invested in the new family car. These preferences can be
represented by the following utility functions:
-
Mother m: um(X) = 2X - X²
Father f: uf(X) = 10X - X²
- Daughter d: ud(X) = 4X - X²
Calculate for each family member (f, m, d) the preferred amount of money
to invest in the new car denoted by X; for i = {m, f,d}. Assume that
(Xf, Xm, Xd) are the three alternatives on which the family must decide. Show
that each family member has rational preferences over this domain.
Preferences on the family level are determined by pairwise majority voting (all
family members vote on two alternatives). Derive the family preference and
check whether it is rational.
Assume that the final family decision is made by conducting sequential pair-
wise majority voting, where the loosing alternative is eliminated. Does…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
Chapter 25 Solutions
Principles of Economics 2e
Ch. 25 - In the Keynesian framework, which of the following...Ch. 25 - In a Keynesian framework, using an AD/AS diagram,...Ch. 25 - Use the AD/AS model to explain bow an inflationary...Ch. 25 - Suppose the U.S. Congress cuts federal government...Ch. 25 - How would a decrease in energy prices affect the...Ch. 25 - Does Keynesian economics require government to set...Ch. 25 - List three practical problems with the Keynesian...Ch. 25 - Name some economic events not related to...Ch. 25 - Name some government policies that cod cause...Ch. 25 - From a Keynesian point of view, which is more...
Ch. 25 - Why do sticky wages and prices increase the impact...Ch. 25 - Explain what economists mean by menu costs.Ch. 25 - What tradeoff does a Phillips curve show?Ch. 25 - Would you expect to see long-run data trace out a...Ch. 25 - What is the Keynesian prescription for recession?...Ch. 25 - How did the Keynesian perspective address the...Ch. 25 - In its recent report, The Conference Boards Global...Ch. 25 - What may happen if growth in China continues or...Ch. 25 - Does it make sense that wages would be sticky...Ch. 25 - Suppose the economy is operating at potential GDP...Ch. 25 - Do you think the Phillips curve is a useful tool...Ch. 25 - Return to the table from the Economic Report of...Ch. 25 - Explain what types of policies the federal...
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