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A test for a certain disease is found to be 96% accurate, meaning that it will correctly diagnose the disease in 96 out of 100 people who have the ailment. The test is also 96% accurate for a negative result, meaning that it will correctly exclude the disease in 96 out of 100 people who do not have the ailment. For a certain population segment, the incidence of the disease is 6%.
(1) If a person tests positive, find the probability that the person actually has the disease (Hint: define appropriate events and use Bayes Theorem); Ans.
(2) Now suppose the incidence of the disease in another population segment is 30%. Compute the probability that the person actually has the disease, given that his/her test is positive; Ans.
(3) Compare the results in (1) and (2), and explain why there is a large difference by exploring the role of the infection rate.
Intersection of two mutually exclusive events: can be any value between 0 to 1, must always be equal to 1.
an article in ad hoc networks discussed an underwater acoustic sensor network to monitor a given area in an ocean. the
an article in the 1993 volume of the transactions of the american fisheries society reports the results of a study to
eight different medical students took blood pressure measurements of the same patient and the results are listed below.
no children which is equal to value obtained by census. Give z statistic (rounded to two decimal places) and P-value. What do you conclude? (Use = 0.10.).
Determine the probability that she lives in an all electric home?
Perform a hypothesis test with significance level 5%. Show all work, and clearly state your conclusion.
With standard deviation of 15. Test hypothesis that Mrs. Smith and Mrs. Jones are equally effective teachers. Use 0.10 level of significance.
A multicenter clinical trial involving 17,000 patients suspected of having acute myocardial infarction was conducted. The vascular death rate after 5 weeks was compared in patients receiving aspirin versus those not receiving aspirin
Include the null and alternative hypothes, name the test being used, find the correct test statistic, the critical statistic, and a diagram.
two manufacturing processes are used.process 1 151 150 154 149 150 148 144 148 152 151 150 149 152 151process 2 152 151
The data given below represent the annual gross revenue (N'millions) obtained by a telephone company over the periods 1987 - 1996:
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