Medical researchers developed a test that determines whether a person has a particular disease. The results haveproduced the following probabilities, where D represents having the disease and N represents a negative test.P(D'IN) = 0.87 and P(DIN') = 0.75. Assuming that P(N') = 0.09, find P(N'ID).P(N'ID)=(Round to the nearest thousandth as needed.)

The following details are given on the probabilities associated with a disease test:The probability…

Answered: Medical researchers developed a test…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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11% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 344 people from the inner city surveyed, 34 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? The test statistic= (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
Medical researchers developed a test that determines whether a person has a particular disease. The results have produced the following probabilities, where D represents having the disease and N represents a negative test. P(D'IN) = 0.85 and P(DIN') = 0.72. Assuming that P(N") = 0.12, find P(N'|D). P(N'|D) =O (Round to the nearest thousandth as needed.)
Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?
Anomal distribution has of mu = 50 with sigma = 6 6. one score randomly selected from this distributionwhich is the probability that the score will be greater than X = 46
The Invisible Gorilla experiment was repeated numerous times. In one experiment, 21 students watching the video, only 10 noticed the gorilla. 1. What is the best estimate from these data of the proportion of students in the population who notice the woman in the gorilla suit? (round to 3 decimals) The Invisible Gorilla experiment was repeated numerous times. In one experiment, 17 students watching the video, only 8 noticed the gorilla. 2. Calculate p' (round to 4 decimals)
10. A sample of high-capacity resistors is tested until failure and the results fitted to a Weibull probability model. Based on these tests, the reliability function of a resis- tor is estimated to be -0.0013 rl.83 R(1) = e' a. What is the failure rate function for these resistors? b. Is this resistor more likely to fail as it ages? c. What is the probability that a resistor will function for more than 30 hours with- out failure? d. Suppose that a resistor has been operating for 50 hours. What is the probability that it fails in the 5 1st hour? [Use the results of part (a) for your calculations.]
Consider the problem of diagnosing a rare disease. Let’s say the occurrence of thisdisease is one in a thousand i.e. P(D = +) = 0.001. There is a test T which correctlyidentifies the disease 99.9% of the time, i.e. P(T = +|D = +) = 0.999. However, italso has a false positive rate of 0.02, i.e. P(T = +|D = −) = 0.02 i. If a random person from the population is tested, what is the probability they willreceive a positive test, i.e. P(T = +)? ii. Given that the test is positive, what is the probability that the person has the disease,i.e. P(D = +|T = +)?
Following equation is given Y= (x+5)^3 + x^2 +10x What is the expected value of Y? Given E{X} = 4 E{x^2} = 9 E{x^3} =12 Explain Briefly
If all possible samples of size 16 are drawn from a normal population with mean equal to 50 and standard deviation equal to 5, what is the probability that a sample mean, ,will fall in the interval from Hx-1.90g to Hx –0.40g ? Assume that the sample means can be measured to any degree of accuracy.
Question 7 According to the data, the weight of a randomly selected checked-in luggage has a normal distribution with a mean of 51 lbs and a standard deviation of 9 lbs. Let X be the weight of a randomly selected checked-in luggage and let S be the total weight of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters and o: X~ Select an answer (μ = Select an answer unknown X² B N T 2. Use the Central Limit Theorem and find the probability that the weight of a randomly selected checked-in luggage is less than 61 lbs. (Round the answer to 4 decimal places) Check-In Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown S~ Select an answer (s= Select an answer σ= to describe the…
If I had a series of data X = (x₁+x₂+x₂+ 1 2 +xN} I would have a mean and standard deviation, and s X If I subtracted 3 from every observation in the data series, X, which of the following would happen? The mean of X will increase by 3 The mean of X will decrease by 3 The standard deviation of X will be three times as large The standard deviation of X will be one third as large 3 ...
Researchers wish to investigate whether anxiety in children has increased over time. In 1950, the average score on the Child Manifest Anxiety Scale was µ= 15.1. A sample of n = 16 was taken from children today, which produced a mean anxiety score of M= 23.3 with SS= 240. Based on the sample, has there been a significant change in the average level of childhood anxiety since 1950? (Use a 2-tailed test with α= .05) Write a sentence describing the outcome of the hypothesis test as it would appear in a research report.

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