Math

StatisticsQ&A LibraryHIV It is estimated that worldwide, 1% of those aged 15–49 are infected with the human immunodeficiency virus (HIV) (based on data from the National Institutes of Health). In tests for HIV, blood samples from 36 people are combined. What is the probability that the combined sample tests positive for HIV? Is it unlikely for such a combined sample to test positive?Start your trial now! First week only $4.99!*arrow_forward*

Question

HIV It is estimated that worldwide, 1% of those aged 15–49 are infected with the human immunodeficiency virus (HIV) (based on data from the National Institutes of Health). In tests for HIV, blood samples from 36 people are combined. What is the probability that the combined sample tests positive for HIV? Is it unlikely for such a combined sample to test positive?

Tagged in

Math

Statistics

Find answers to questions asked by students like you.

Q: A researcher conducted a one-way ANOVA and found F(3,27) = 3.5. In other words, dfbetween = 3 and df...

A: The critical value of F at 0.01, level of significance is obtained as shown below:From the given inf...

Q: Identify two possibleways inwhich conditional probabilities can be computed.

A: Justification:The conditional probability Rule

Q: Blood Pressure Medication. A medical researcher wants to determine factors that affect a patient’s r...

A: (a)Justification:Response variable:Response variable in a regression equation is the dependent varia...

Q: Hurricanes. In Exercises 5–8, assume that the Poisson distribution applies; assume that the mean num...

A: a.It is given that the mean number of hurricanes is 6.1 per year.The probability that in a year, the...

Q: Bicycle Commuting Times. Acity plannerworking on bikeways designs a questionnaire to obtain informat...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: Denote the x as the number of specified characteristics, the hypothesized proportion as p and the sa...

Q: *Bridge. A bridge hand consists of an unordered arrangement of 13 cards dealt at random from an ordi...

A: a)Here, order doesn’t matter. Hence, combination is applied.Combination Rule:A combination is an arr...

Q: Wedding Costs. According to Bride’s Magazine, getting married these days can be expensive when the c...

A: a. The point estimate for the population mean wedding cost, µ is 26,326.9 and it is obtained below: ...

Q: You have seen that the larger the sample size, the smaller the sampling error tends to be in estimat...

A: Sampling error:When a sample is used to estimate a population characteristic the error resulting is ...

Q: Earthquakes. According to The Earth: Structure, Composition and Evolution (The Open University, S237...

A: a)Mean:The sum of all the entries divided by the total number of entries is known mean.The formula f...

Q: Briefly, for a normally distributed variable, how do you obtain the percentage of all possible obser...

A: The procedure for obtaining the percentage of all the possible observations that lie within the spec...

Q: Verbal GRE Scores. Refer to Problem, and fill in the following blanks. a. Approximately 68% of stude...

A: a.Here, it is observed the mean and the standard deviations of the scores on the verbal portion of t...

Q: Can you help asap, please

A: Note:Hey there! Thank you for posting the question. Since there are multiple questions posted, accor...

Q: Here is a data set that has a nearly normal distribution. data data data data 45.5 51.33 28.7...

A: The provided data set has a nearly normal distribution. It is decided that each class will include t...

Q: Assume that 12 jurors are selected from a population in which 50% of the people are Mexican-Americ...

A: Click to see the answer

Q: Regarding the plane that best fits a set of data points: a. What is that plane called? b. What is th...

A: Sample regression plane:Sample regression plane is the plane that helps to minimize the sum of squar...

Q: Corporate Officers and Committees The Digital Pet Rock Company was recently successfully funded via ...

A: a.From the given information, strategic planning committee with four different members and there are...

Q: The students in the HS3333 course recently took an exam and these were the scores: 76, 88, 67, 80...

A: Given that,76 88 67 80 44 65 50 98 55 45 23 44 65 78 66 56 89 76 87 29Arrange the data into ascendin...

Q: For a normally distributed variable, what is the relationship between the percentage of all possible...

A: Justification:The area under the associated normal curve to the right of 7 is given.From the given i...

Q: In each of Exercises, explain the effect on the margin of error and hence the effect on the accuracy...

A: a) Given the margin of error = 3.4Here population mean is being estimated using the sample mean.The ...

Q: According to Table , the area under the standard normal curve that lies to the left of -2.08 is 0.01...

A: The area under the standard normal curve that lies to the left of –2.08 is 0.0188.

Q: Poisson Probability Distribution The random variable x represents the number of phone calls the aut...

A: It is given that the number of phone calls the author receives in a day follows a Poisson distributi...

Q: State the two basic properties of every density curve.

A: A density curve is a smooth curve, used to identify the shape of the distribution.It represents the ...

Q: E is an event and P(not E) = 0.4. Find P(E).

A: According to the provided information,

Q: What is a statement that can be proven called

A: In this case, we need find “what is the statement that can be proven called”.

Q: Pets. According to JAVMA News, a publication of the American Veterinary Medical Association, roughly...

A: Click to see the answer

Q: Why is sampling often preferable to conducting a census for the purpose of obtaining information abo...

A: Taking a sample is speedy and more cost effective than carrying out a census, and more knowledge abo...

Q: Testing for Content Accuracy. A brand of water-softener salt comes in packages marked “net weight 40...

A: a)The probability that the weight of one randomly selected bag of water-softener salt will be 39 lb ...

Q: Cloudiness in Breslau. In the paper “Cloudiness: Note on a Novel Case of Frequency” (Proceedings of ...

A: a.It is given that mean degree of cloudiness is, μ = 6.83 and standard deviation σ = 4.28. The sampl...

Q: 50 psychology students took a standardized test. The scores are summarized in the GFDT below. ...

A: The formula for the relative frequency is given below:

Q: A 2x2 ANOVA produced the following F-ratios. FA = 1, FB = 5, FAxB = 8. For all three tests, dfbetwee...

A: The correct option is B.The F-ratio for the factor A is 1, B is 5 and AB is 8.The critical value of ...

Q: Find the 5 number summary of the following set of data: 11, 8, 12, 4, 7, 10, 3, 15, 8, 8, 7

A: In general, five number summary represents minimum, first quartile, median, third quartile and maxim...

Q: In how many different ways can a true-false test consisting of 5 questions be answered? Its not 10? ...

A: According to the provided data, there a total of 5 questions that can be answered in 2 ways, that is...

Q: What is a density curve, and why are such curves important?

A: Click to see the answer

Q: Determine whether the argument is valid or not. Premises: If you do not study, you cannot do th...

A: Statements:Consider the following:p: You do not studyq: You cannot do the homework.r: You cannot pas...

Q: Fill in the blanks. a. A ______ is a quantitative variable whose value depends on chance.b. A discre...

A: Click to see the answer

Q: The area under the standard normal curve that lies to the left of a z-score is always strictly betwe...

A: In general, the standard normal curve to the left of a z-score is always strictly between 0 and 1.

Q: In Exercises, X denotes a binomial random variable with parameters n and p. For each exercise, indic...

A: Continuity correction:The binomial probability is converted to a normal distribution probability by ...

Q: Here is a data set: 647 696 453 614 696 612 617 581 565 570 608 514 556 517 659 666 696 6...

A: The class width is calculated as follows:

Q: New York City 10-km Run. As reported in Runner’s World magazine, the times of the finishers in the N...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: A variable is normally distributed with mean 68 and standard deviation 10. a. Determine and interpre...

A: Hello there! in the given question there are more than three subparts. According to our policy maxim...

Q: Sketch the normal distribution with a. µ = 3 and σ = 3.b. µ = 1 and σ = 3.c. µ = 3 and σ = 1.

A: a.The normal distribution with is,

Q: How long does it take to finish the 1161-mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska?...

A: (a)The class width is calculated by using formula,

Q: In Exercises 9–16, use the Poisson distribution to find the indicated probabilities. Murders In a re...

A: From the given information, the murders in a recent year, there were 333 murders in New York CityLet...

Q: AAA Batteries AAA batteries are made by companies including Duracell, Energizer, Eveready, and Panas...

A: Define the random variable x, as the number of defective batteries. The probability of defects in a ...

Q: In each of Problems, assume that the variable under consideration has a density curve. Note that the...

A: Given Dataarea under a density curve that lies to the left of 60 is 0.364Percentage of area less tha...