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A medical research team wished to evaluate a proposed screening test for Alzheimer's disease. The test was given to a random sample of 450 patients with Alzheimer's disease, of which 436 tested positive for the disease. The test was also given to an independent random sample of 500 patients without symptoms of the disease, of which 5 testing positive for the disease. The two samples were drawn from populations of patients who were 65 years of age or older. Use these data to answer the following questions.
a. The sensitivity of a test (or symptom) is the probability of a positive test result (or presence of the symptom) given the presence of the disease. Showing your work, estimate the sensitivity of the test.
b. The specificity of a test (or symptom) is the probability of a negative test result (or absence of the symptom) given the absence of the disease. Showing your work, estimate the specificity of the test.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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