Applied to people who have no HIV antibodies, one rapid test has a probability of 0.004 of producing a false-positive.  (a) Is a clinic tests 200 people who are free of HIV antibodies, what is the probability that no false- positives will occur? (b) What is the probability that at least one of the 200 people in part (a) will receive a false-positive?

Q: Given that a random person just tested positive, determine the probability of having this illness.

A: Here use tree diagram

Q: A psychology student is unprepared for a surprise​ true/false test with 17 ​questions, and all of…

A: It is given that, There is a test with 17 questions i.e. n=17 and Every question has two options,…

Q: diagnostic test for disease X correctly identifies the disease 97% of the time. False positives…

A: event A: suffer from dieseaseB: test positiveP(B|A) = 0.97P(B|A') = 0.07P(A) = 0.0423P(A')  = 1 -…

Q: A test to determine whether a certain antibody is present is 99.8% effective. This means that the…

A:

Q: A study reported that about 40% of high school students have tried out for a sport at their school.…

A: Proportion is almost similar to the concept of probability. Proportion is a fraction of a population…

Q: When testing for COVID infections, it can be more efficient and less expensive to combine samples.…

A: Given probability that a combined sample tests positive given that the individual sample infection…

Q: The next thing you are interested in knowing is if the sex ratio of the crab population in the…

A: The objective of the study is to determine if the sex ratio of the crab population in the Edisto…

Q: 2. A school district receives a grant to purchase 38 new computers to be apportioned amc schools in…

A:

Q: We want to determine the probability that the fifth patient who recovers is the seventh person to…

A: A certain drug is known to be effective in treating a specific disease with a success rate of…

Q: e blood test used to confirm this diagnosis gives positive results for 94​% of people with the…

A:

Q: Hotel attendants have to check guests’ IDs because there is probably a law about that.  Employees do…

A:

Q: (a) What is the probability that the test comes back negative for all six ​people? ​(b) What is the…

A: The probability that the test will accurately come back negative if the antibody is not present​ (in…

Q: Physicians at a clinic gave what they thought were drugs to 1000 asthma, ulcer, and herpes patients.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The probability of making a free throw is 1/2, you either make the free throw or miss it. In a…

A: You either make the free throw or miss it. So, Theoretical Probability of making free throw for…

Q: You have recently invested in an electric skateboard. You always wear a helmet and padding to…

A: since n=1000 is large and p=0.005 is small, we can approximate this with Poisson distribution…

Q: test to determine whether a certain antibody is present is 99.8​% effective. This means that the…

A: Given that test to determine whether a certain antibody is present is 99.8​% effective

Q: The report of a seat-belt study stated that older drivers were not statistically significantly more…

A:

Q: As Bayes' Theorem illustrates, when you're testing for a rare event (e.g. a rare disease), it's…

A: A false positive is typically referred to as a Type I error in statistics. When someone wrongly…

Q: The normal rate of infection of a certain disease with the children is found to be 20%. In an…

A:

Q: Suppose you have been contracted by a pharmaceutical or diagnostic company to analyze a test for…

A: The given values are as follows: Ptest + influenza=0.90Ptest - no influenza=0.95 Pinfluenza=0.01…

Q: A test to determine whether a certain antibody is present is 99.6​% effective. This means that the…

A: Given that When antibody is not present  Probability that test is negative=0.996 Probability that…

Q: In a hypothesis test, the Type I error rate is a = 0.10. Suppose we %3D also know that the Type II…

A: The type I error is Rejection of True null hypothesis. The type II error is fail to reject a false…

Q: Dayer diagnostics claims that their latest imaging equipment can identify signs of dementia with…

A: Solution Dayer diagnostics claims that their latest imaging equipment can identify signs of dementia…

Q: The sensitivity of a medical test is the true positive rate. In other words, the sensitivity is the…

A: Question 4)  X is the number of people who receive false positives. The sample size is 30. So, the…

Q: A test to determine whether a certain antibody is present is 99.3% effective. This means that the…

A: In theoretical distributions, the binomial distribution is one of the discrete probability…

Q: A recent court decision supported a pilots decision to continue to his destination with a four…

A: Given that: The argument was that an aircraft will fly on two engines and that the probability of…

Q: The incidence of a certain disease in the population is estimated to be 0.5%. That is, the…

A:

Q: A particular diagnostic test performs such that when an individual has the disease, a positive…

A: Let us define the events D = Person has the disease D' = Person who doesn't have the disease p =…

Q: Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the…

A: Let the testing kit of Oliver accurately identifies the disease with a probability of p. Probability…

Q: A study showed that the sex ratio of children born to families in a native community of Ontario…

A: A study showed that the sex ratio of children born to families . Given: A news paper report about…

Q: Why does my company hire idiots as quantitative analysts? One of them just told me that the…

A: Answer :

Q: A medical researcher claims that 60% of people with shellfish allergies do not have their first…

A: The random sampling method is one of the sampling method. In this method, the elements of sample are…

Q: If 0.5% of the population currently has the virus, what is the probability that a person has the…

A: Let us define some events A : a person has the virus. B : a person does not have virus. E : test…

Q: Suppose you flip a fair coin 10 times, and get seven heads. So currently the empirical probability…

A: Given that the coin is fair. This means there are equal chances of getting heads and tails.  So…

Q: (b) Suppose that 6 in 100 people (i.c. 6%) have a particular disease. A diagnostic test for the…

A: Let A denote that a person has a disease. Let B denote the test will give a positive result. PA=0.06…

Q: According to U.A government statistics, mononucleosis (mono) is four times more common among college…

A: From the table, we see 67 students have mono.  Of those 67 students, 35 students have a negative…

Q: Suppose you were selected from a population at random to take a medical test. It is believed that…

A: Given that : P(ill)=5%=0.05 P(not ill)=1-0.05= 0.95 P(positive | ill)= 90%=0.90 P(positive | not…

Q: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautious about…

A: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautiousabout…

Q: If the probability is below 0.01, the data provide strong evidence that the null hypothesis is…

A: P-value or probability value: P-value or probability value method involves the probability of…