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Dogs are being trained to detect lung cancer by smelling the breath of patients. 1286 patientswith known cancer status are tested. 708 patients without cancer were given a negative result,and 4 patients without cancer were given a positive result. 10 patients with cancer were givena negative result, and 564 patients with cancer were given a positive result.
(a) Create a table to organize the above information and help solve the problems below.
(b) Find the probability of a positive test for a patient with cancer (the sensitivity).
(c) Find the probability of a negative test for a patient without cancer (the specificity).
(d) Find the probability of having cancer for a patient getting a positive result (the positivepredictive value) for this test on this sample.
(e) Assume that the sensitivity and specificity are always the same. Find the positive predictivevalue of this test when used on a population where 7% of people have lung cancer.
in simple linear regression through the origin no intercept does the line yhat bx necessarily pass through the point
Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?
If someone driving in New Orleans tuned into an FM radio station with high signal strength at random, what would be the chances he would get a Rock or Hip hop station? Give answer as a fraction in lowest terms.
question refer to the article entitled 21st birthday from the penn state pulse january 2001. located in the library
1. Find the probability mass function (pmf) for a random variable with the following moment generating function (mgf),
Draw sketch and find the two-readings that are cutoff values separating the rejected thermos from the others. Graph and then note the cut off values.
What is the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state?
The events A and B are independent, mutually exclusive or both. If two events A and B are mutually exclusive (A B = ), then they cannot be independent if P(A) > 0 and P(B) > 0. Why?
Two different simple random samples are drawn from two different populations. The first sample consists of 20 people, with 10 having a common attribute.
The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code.
Find the number of cases needed if the design is 1:1 matched; matching criteria are various menstrual characteristics, exogenous estrogen use, and prior pelvic surgeries.
administrators at a university will charge students 158 to attend a seminar. it costs 2160 to reserve a room
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