A disease can be caused by three strains of a virus. Suppose that Type A is statistically the most widespread causing 85% of all cases, Type B causes 12% of cases and Type C causes the remaining cases. a standard course of medication XYZ is enough to treat 90% of cases caused by Type A, 30% of cases caused by Type B and 4% of cases caused by Type C. If a patient’s symptoms do not improve after a course of XYZ, how likely is it that their case is caused by strain of Type N
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- you randomly select 15 apple tree locations and 15 citrus tree locations from different forests. Each location is 1000 m² in size. Now you randomly create 10 zones within each forest (300 total) and measure plant biomass in each for three years (900 being the final tally) determine the population of interest, the dependent variable, the independent variable, and if the independent variable is being observed or controlled/manipulated, and number of replicates pseudoreplicates.The bacterium Staphylococcus aureus is commonly found on the skin and rarely causes major problems. If it gets under the skin or into the lungs it can cause boils or pneumonia. If the strain of bacterium causing these problems is resistant to methicillin, the infections can be life threatening. Methicillin resistant Staphy- lococcus aureus or MRSA is, therefore, a major concern in hospitals and clinics. Given the death rate from MRSA lung infections is 20%, if 20 patients are admitted in the hospital find the following probabilities: (a) Less than 3 die (b) At least 3 die. (c) Between 6 and 3 die.Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: ______ Ha: ______ Find the value of the test statistic. (Round your answer to two decimal places.) = What is the p-value? (Round your answer to four decimal places.) p-value =…
- A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.A person with tuberculosis is given a chest x-ray. Four tuberculosis x-ray specialists examine each x-ray independently. If each specialist can detect tuberculosis 83% of the time when it is present, what is the probabilty that at least 1 of the specialists will detect a person positive.In one study, researchers at McGill University recruited127 people with high cholesterol and split them into twogroups. One took a probiotic supplement twice a dayfor nine weeks, while the second group took a placebo.The probiotic group saw their total cholesterol drop by 9 percent and their LDL, or “bad cholesterol,” fall almost12 percent. In a different study, conducted in Britain,80 volunteers “were given probiotics for six weeks andthen switched, later on, to a placebo. That study found nodifference in cholesterol levels when the subjects took thesupplement versus the dummy pills.”Which of the following is true: a) The McGill study is a controlled randomized experi-ment, while the British study is an observational study. b) The McGill study is a completely randomized ex-periment, while the British study is a matched pairs experiment.c) The results from the McGill study are more validbecause it includes blinding while the British studydoes not.d) We have reason to believe that the…
- In laboratories where clinical tests are carried out, two types of test are available for the detection of a highly contagious virus. The Type A test is very fast and inexpensive while the Type B test is a test that requires more time to obtain a diagnosis and is more expensive. It is known that the economic test. Type A, generates correct diagnosis (C) in 60% of cases. While the Type B test provides the correct diagnosis (C) in 99% of cases. If after six months of quarantine due to this virus the health secretary realizes that 80% of the tests carried out in the state correspond to Type A economic tests and only 20% were Type B. If it is known that a test made an incorrect diagnosis. What is the probability that the Type A economic test did? .9937 .24844 .322 .6211 .3788A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct symbolic notation for the alternative hypothesis. A. H0: µ1 = µ2 B. HA: µ1 ≠ µ2 ≠ µ3 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2More than 10% of people carry the parasite Toxoplasma gondii. The life-long presence of Toxoplasma cysts in neural and muscular tissues leads to prolongation of reaction times in infected subjects. The following table gives data from Prague on 15- to 29-year-old drivers who had been and had not been involved in accidents. The table also gives the number of drivers who were infected with Toxoplasma gondii and who were uninfected. Infected Uninfected Drivers with accidents 21 38 Drivers without accidents 38 211 Source: Flegr. J Havlicek, J., Kodym, P. Malý, M. & Smahel, Z. (2002). Increased risk of traffic accidents in subjects with latent toxoplasmosis: a retrospective case- control study. BMC infectious diseasex, 2, 11. https://doi.org/10.1186/1471-2334-2-11 Complete the sentences to form the correct statements identifying the explanatory and response variables. Select from here: infection status. The explanatory variable is place of living. accident state. The response variable is age…
- Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.In 2004 it was reported that 31% of all graduating US college students were graduating with STEM degrees (Science Technology Engineering and Math). You want to study if this percentage has increased. To study this you divide the country into 4 major regions, East Coast, Midwest, South, and West Coast and randomly sample 70 students from each region. This means you ultimately randomly sample 280 graduating students and find that 95 of them were graduating with STEM degrees. (a) Carry out at α = .05 a hypothesis test to test the claim that the percentage of US college students that get STEM degrees has increased since 2004. Make sure to check all necessary condi- tions and state your conclusion in the context of this problem. (b) Build a 95% confidence interval to estimate the current percentage of US college students that graduate with a STEM degree. Make sure to check any necessary conditions and interpret your interval in the context of this problem. (c) What type of sampling did you…