Solve the problem.1) Suppose the probability of a student being infected with COVID-19 is 10%. An 1)at-home covid test will yield either a positive or negative result. Given that thestudent has COVID-19, the probability of a positive test result is 0.995. Giventhat the student does not have COVid-19, the probability of a negative testresult is 0.992. Given that a positive test result has been observed for anstudent, what is the probability that they actually have COVID-19?A) 0.9928B) 0.0995C) 0.9325uthor's Consent

Answered: Suppose the probability of a student…

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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It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 115 kissing couples, both people in 74 of the couples tended to lean more to the right than to the left. (Use α = 0.05.) USE SALT (a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 115 who do so differs from the expected value by at least as much as what was actually observed? (Round your answer to four decimal places.) 76.6667 X Probabilities should be between 0 and 1. (b) Does the result of the experiment suggest that the 2/3 figure is implausible for kissing behavior? State the appropriate null and alternative hypotheses. Ho: p = 2/3 Ha: p ≤ 2/3 Ho: p = 2/3 Ha: p > 2/3 Ho: p = 2/3 Ha: p < 2/3 Ho: p = 2/3 Ha: p = 2/3 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and…
A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 500 house purchases in the current year were randomly selected and 100 of those were made by singles. In the second study, again 500 house purchases were randomly selected from 5 years ago and 81 of those were made by single people. Test the newspaper's claim using a 0.02 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision. Answer E Tables E Keypad Keyboard Shortcuts We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. We fail to reject the null…
A school psychologist is interested in determining if children with attention deficit hyperactivity disorder (ADHD) learn better if English literature is read to them rather than having them read the material alone by themselves. A random sample of 10 sixth graders with ADHD is selected and divided into two groups of n=9. One of the groups has a story read to them (Listening Group) and the other reads the story alone by themselves (Reading Group). A test on the story is given after each group has finished reading or hearing the story. The following scores were obtained with 20 being a perfect score. what is the r2?
A school psychologist is interested in determining if children with attention deficit hyperactivity disorder (ADHD) learn better if English literature is read to them rather than having them read the material alone by themselves. A random sample of 10 sixth graders with ADHD is selected and divided into two groups of n=9. One of the groups has a story read to them (Listening Group) and the other reads the story alone by themselves (Reading Group). A test on the story is given after each group has finished reading or hearing the story. The following scores were obtained with 20 being a perfect score. What is the t-critical and t-observed value?
A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 500 house purchases in the current year were randomly selected and 200 of those were made by singles. In the second study, again 500 house purchases were randomly selected from 5 years ago and 169 of those were made by single people. Test the newspaper’s claim using a 0.01 level of significance. Is there sufficient evidence to support the newspaper’s claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: p1=p2: Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Compute the value of the test statistic. Round your answer to two decimal places. Draw a conclusion and interpret the decision
A school psychologist is interested in determining if children with attention deficit hyperactivity disorder (ADHD) learn better if English literature is read to them rather than having them read the material alone by themselves. A random sample of 10 sixth graders with ADHD is selected and divided into two groups of n=9. One of the groups has a story read to them (Listening Group) and the other reads the story alone by themselves (Reading Group). A test on the story is given after each group has finished reading or hearing the story. The following scores were obtained with 20 being a perfect score. What is the t-statistic?
Given that the info on cdc.gov has a 96 percent accuracy rate on testing, what is the chance that you have covid 19 given that you test positive for covid.
A flight attendant selects a random sample of 201 travelers. For each, he records the class in which the person travels and whether they have carry-on luggage. He would like to know if there is convincing evidence that the class in which a person travels is associated with having carry-on luggage. Let a = 0.05. What are the hypotheses for this test? O Ho: Class is not independent of carry-on luggage. Hg: Class is independent of carry-on luggage. O Họ: Class is independent of carry-on luggage. Hg: Class is not independent of carry-on luggage. O Họ: There is an association between class and carry-on luggage. Hạ: There is no association between class and carry-on luggage. O Ho: The proportion of travelers who have carry-on luggage is not the same in the types of class. Hg: The proportion of travelers who have carry-on luggage is the same in the types of class.
In a hypothetical study of garter snake anti-predator traits, researchers take a random sample of 100 snakes. From that sample they identify 25 snakes that have cryptic coloration and 50 snakes that tend to 'freeze' when spotted by a predator (we'll call them 'stayers'). The two traits are not mutually exclusive, and 40 snakes were observed to be both cryptic and stayers. Assuming the sample is representative of the population, what is the probability of sampling a single snake that is either cryptic OR a stayer?
You may need to use the appropriate appendix table or technology to answer this question. In a certain political poll, each person polled has a 80% probability of telling his or her real preference. Suppose that 56% of the population really prefer candidate Goode and 44% prefer candidate Slick. First find the probability that a person polled will say that he or she prefers Goode. Now find the approximate probability that, if 1,000 people are polled, more than 51% will say that they prefer Goode. (Round your answer to four decimal places.)
Consider a disease whose presence can be identified by carrying out a blood test. Let p denote the probability that a randomly selected individual has the disease. Suppose n individuals are independently selected for testing. One way to proceed is to carry out a separate test on each of the n blood samples. A potentially more economical approach, group testing, was introduced during World War II to identify syphilitic men among army inductees. First, take a part of each blood sample, combine these specimens, and carry out a single test. If no one has the disease, the result will be negative, and only the one test is required. If at least one individual is diseased, the test on the combined sample will yield a positive result, in which case the n individual tests are then carried out. [The article "Random Multiple-Access Communication and Group Testing"t applied these ideas to a communication system in which the dichotomy was active/idle user rather than diseased/nondiseased.] If p =…
A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 500 house purchases in the current year were randomly selected and 200 of those were made by singles. In the second study, again 500 house purchases were randomly selected from 5 years ago and 167 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

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