Question
In: Statistics and Probability
Health experts’ estimate for the sensitivity of coronavirus tests, as they are actually used, is 0.7....
Health experts’ estimate for the sensitivity of coronavirus tests, as they are actually used, is 0.7. They also think the specificity is very high. Suppose specificity is 0.99 and that the health experts’ estimated sensitivity is correct (0.7).
a. In a population where 20% of the population is infected with the coronavirus, what is the probability that a person who tests positive actually is infected?
b. Continued. What is the probability that a person who tests negative actually is not infected?
c. If the prevalence of infection in the tested population is 0.8 (in other words, if 80% of people tested have the infection), what is the probability that a person who tests positive actually is infected?
d. Continued. What is the probability that a person who tests negative actually is not infected?
Solutions
orchestra answered 1 year agoRelated Solutions
USE THREE DECIMALS FOR ALL OF THE ANSWERS. Health experts’ estimate for the sensitivity of coronavirus...
USE THREE DECIMALS FOR ALL OF THE ANSWERS. Health experts’
estimate for the sensitivity of coronavirus tests, as they are
actually used, is 0.7. They also think the specificity is very
high. Suppose specificity is 0.99 and that the health experts’
estimated sensitivity is correct (0.7).
a. In a population where 20% of the population is infected with
the coronavirus, what is the probability that a person who tests
positive actually is infected?
b. Continued. What is the probability that...
USE THREE DECIMALS FOR ALL OF THE ANSWERS. Health experts’ estimate for the sensitivity of coronavirus...
USE THREE DECIMALS FOR ALL OF THE ANSWERS.
Health experts’ estimate for the sensitivity of coronavirus
tests, as they are actually used, is 0.7. They also think the
specificity is very high. Suppose specificity is 0.99 and that the
health experts’ estimated sensitivity is correct (0.7).
a. In a population where 20% of the population is infected with
the coronavirus, what is the probability that a person who tests
positive actually is infected?
b. Continued. What is the probability that...
A newly developed test for coronavirus has sensitivity 0.90 and specificity 0.85. Sensitivity is the probability...
A newly developed test for coronavirus has sensitivity 0.90 and
specificity 0.85. Sensitivity is the probability of a positive
result given that a person has the virus, and specificity is the
probability of a negative result given that a person has no virus.
Suppose that 12% of the population has the coronavirus. If the test
gives you a positive result, what is the probability that you
actually have the virus? Show your work.
The “Fire” E-Reader by Amazon sells for approximately $200. Some experts suggest that the “Fire” actually...
The “Fire” E-Reader by Amazon sells for approximately $200. Some
experts suggest that the “Fire” actually costs Amazon about $200 to
produce. What is Amazon thinking? Aren’t they in business to make a
profit?
A study was conducted to estimate the sensitivity and specificity of a new procedure for detecting...
A study was conducted to estimate the sensitivity and
specificity of a new
procedure for detecting the presence of a kidney disease among
patients
suffering from hypertension. Among the 54 hypertensive
patients who
had the kidney disease, the procedure identified the disease
for 45 subjects. Among the 83 hypertensive patients who did not
have the kidney
disease, the procedure identified the disease for 24 subjects.
Consider
a patient chosen from a certain hypertensive population in
which the
prevalence of this...
RPR tests for syphilis have a sensitivity of 86% and a specificity of approximately 92%. Given...
RPR tests for syphilis have a sensitivity of
86% and a specificity of approximately
92%. Given a syphilis prevalence rate of 5 cases
per 100,000 people.
Positive Predictive Value of 0.054% and
Negative Predictive Value of 99.99%
1) What does this suggest about the usefulness of
screening the general population? Please explain your answer
(minimum 250 words)
Two tests (A and B) for osteoporosis have the following characteristics: Test A has a sensitivity...
Two tests (A and B) for osteoporosis have the following
characteristics:
Test A has a sensitivity of 60% and a specificity of 80%.
Test B has a sensitivity of 90% and a specificity of 90%.
If the nurse reversed the order of the testing (i.e. used Test B
first and the administered Test A to those who were positive on
Test B), what would happen to the net specificity?
a. decrease
b. stay the same
c. increase
d. not enough...
A researcher tests the claim that the coronavirus can live on doorknobs for longer than on...
A researcher tests the claim that the coronavirus can live on
doorknobs for longer than on stainless steel water bottles, on
average.
(3 pts) Write the null and alternative hypotheses. (3 pts)
If the researcher commits a Type I error, that means the
researcher rejects the null hypothesis when the null hypothesis is
true (i.e. the alternative hypothesis is false). Write the Type I
error in context.
(3 pts) If the researcher commits a Type II error, that means
the...
A researcher tests the claim that the coronavirus can live on doorknobs for longer than on...
A researcher tests the claim that the coronavirus can
live on doorknobs for longer than on stainless steel water bottles,
on average.
Write the null and alternative hypotheses.
If the researcher commits a Type I error, that means the
researcher rejects the null hypothesis when the null hypothesis is
true (i.e. the alternative hypothesis is false). Write the Type I
error in context.
If the researcher commits a Type II error, that means
the researcher fails to reject the null...
CORONAVIRUS AND HEALTH DISPARITIES Research the coronavirus, based on the finding in other countries (clearly state...
CORONAVIRUS AND HEALTH DISPARITIES
Research the coronavirus, based on the finding in other
countries (clearly state which countries) what do you think the
health outcome will be in the United States of America (USA). What
are the expected health disparities? Which three social and
behavioral determinants of health will affect the USA population?
Why? Propose an intervention to target the social determinants and
health outcome and the
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