Suppose a COVID-19 is 85% sensitive and 82% specific. That is, the test will produce 85% true positive results for those that have the virus and 82% true negative results for those who do not. Suppose that 3.3% of people actually have the virus. If a randomly selected individual tests negative, what is the probability he or she does not have the virus?
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- Physicians at a clinic gave what they thought were drugs to 960960 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 5252 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.490.49. For the hypotheses that the proportion of improving is 0.490.49 against that it is >0.49>0.49, find the p-value. p=p=A group of students is asked a question one at a time. Whether or not the students are able to answer the question correctly are independent Bernoulli trials with a 60% probability of the student questioned answering correctly. The expected number of students that needs to be questioned before getting three students who correctly answer the question isA study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 91% of the time. In contrast, a novice will correctly identify the match 77% of the time. Consider a sample of seven different pairs of fingerprints, where each pair is a match. Complete parts a and b below. a. What is the probability that an expert will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.) b. What is the probability that a novice will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.)
- Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 94 people in the 18-21 age bracket and finds that 80 of them respond and 14 refuse to respond. When 265 people in the 22-29 age bracket are contacted, 241 respond and 24 refuse to respond. Assume that 1 of the 359 people is randomly splected. Find the probability of getting someone in the 22-29 age bracket or someone who refused to respornd. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. P(22-29 or refused) % %3D (Hint: It might be helpful to organize the data into a table first.) Question Help: Written Example Message instructor Submit Question Jump to AnswerThere are declining levels of cooperation among persons contacted in surveys and this brings concerns to pollsters. A pollster contacts 92 people in the 18-21 age bracket and finds that 78 of them respond and 14 refuse to respond. When 276 people in the 22-29 age bracket are contacted, 259 respond and 17 refuse to respond. Assume that 1 of the 368 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob = Question Help: M MesIt is estimated that 60.5% of adults in Nevada have received at least one dose of the COVID-19 vaccine. Suppose 200 Nevada adults are randomly selected. Question #5: What is the probability of 100 or less adults received at least one dose?
- A factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces Q23 Given that the selected piece is non-defective, what is the probability that the machine is set up correctly? Your answer should be in % and have two digits after the period. So, if your answer is 50.023%, enter 50.02. Your Answer:a) The proportion of people in a given community who have Covid- 19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.99. If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01. if a 2 person tests positive, what is the probability that the person actually has the Covid-19 infection? i. Which model will best be good for solving the above problem and why? ii. In your own words, comment on the types of events you see in the problem and name them. b) 30% of people who seek psychotherapy will recover from their symptoms irrespective of whether they receive treatment. A research finds that a particular type of psychotherapy is successful with 45 out of 100 clients. Using an alpha level of 0.05 as a criterion, what should she conclude about the effectiveness of this psychotherapeutic approach? i. Which statistical model is most…A dowser has correctly located water for a well 1 out of 2 times in Jones County. In Jones County, someone who is just guessing has a 40% chance of locating water for a well. Does this sample provide sufficient evidence that the dowser can locate water and is not just guessing?
- Physicians at a clinic gave what they thought were drugs to 890890 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 5555 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.530.53. For the hypotheses that the proportion of improving is 0.530.53 against that it is >0.53>0.53, find the p-value. ?=p=In a genetics experiment on peas, one sample of offspring contained 396 green peas and 296 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 34 that was expected?