Suppose that a COVID-19 vaccine is 100% effective and Ro of COVID-19 is 2.5. What is the percentage of the population that needs to be fully vaccinated to reach herd immunity?
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- Researchers suspect that drinking tea might enhance the production of interferon gamma, a molecule that helps the immune system fight bacteria, viruses, and tumors. A recent study involved 20 healthy people who did not normally drink tea or coffee. Ten of the participants were randomly assigned to drink five cups of tea a day, while 10 were asked to drink the same amount of coffee. After two weeks, blood samples were exposed to an antigen and production of interferon gamma were measured. The results are shown in the following table: Теа: 55 17 54 49 10 46 21 14 53 Coffee: 16 12 20 52 37 15 22 30 3 Let X ~ N(ux,o3) be the interferon gamma production for participants who drink tea and observations for the ten participants who drink tea are a random sample from X. Let Y ~ N(uy,o) be the interferon gamma production for participants who drink coffee and observations for the ten participants who drink coffee are a random sample from Y. Some R output that may help. > p1 qnorm(p1) [1] -2.326…A mutation in Gene A is thought to be associated with a disease. The mutation in Gene A is found in 5% of the population. 2% of the whole population is diagnosed with disease B at some point in their life time. 1% of the population both has the mutation and also gets diagnosed with the disease in their life time.a. Is the provided data adequate to test the independency of mutation in Gene A and occurrence of Disease B? If it is not, what other information or data is needed to test the independency?b. What is the probability of Disease B, among the individuals with the mutation in Gene A?c. What is the probability of having the mutation in Gene A among the individuals with Disease B?d. If an individual has the mutated Gene A, what is their Relative Risk of developing the disease?The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.
- It was reported that some sixty-seven percent of Covid 19 infection, over one summer month in a European country, were people who were fully vaccinated. Does this mean that Covid 19 vaccine is ineffective?A fungal meningitis outbreak has been traced back to a particular compound pharmacy selling a specific injectable drug that is suspected to have been contaminated. In the past 4 weeks 15,051 patients were given the medication, and of those patients 72 individuals contracted fungal meningitis. What is the cumulative incidence for meningitis among those individuals who the medication was administered to?Suppose we want to study the effect of smoking on lung capacity in women. Match the study to experimental or observational. Find 100 women age 20 who do not currently smoke. Randomly assign 50 of the 100 women to the smoking treatment and the other 50 to the no smoking treatment. Those in the smoking group smoke a pack a day for 10 years while those in the control group remain smoke free for 10 years. Measure lung capacity for each of the 100 women. Find 100 women age 30 of which 50 have been smoking a pack a day for 10 years while the other 50 have been smoke free for 10 years. Measure lung capacity for each of the 100 women. Analyze, interpret, and draw conclusions from data.
- A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. In the study, a group of researchers studied 1132 subjects. The subjects were randomly assigned to out of three study groups. The first group of 310 subjects were instructed to take 600 mg daily of vitamin C. The second group of 418 subjects were instructed to take 600 mg of vitamin C and 200 IU of vitamin E daily. The third group of 404 subjects were instructed to take 600 mg of vitamin C and 400 IU of vitamin E daily. The incidence of flu over a season was recorded. All subjects knew which treatment they were receiving. In this study, which is the control group? O the third group of 404 taking 400 IU of vitamin E O the 1132 subjects O the first group of 310 taking vitamin C alone O the second group of 418 taking 20O IU of vitamin E O There is no control group. This study is O double-blind Onot blind. O not an experiment blind, but not double-blind none of the…A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. In the study, a group of researchers studied 1132 subjects. The subjects were randomly assigned to out of three study groups. The first group of 310 subjects were instructed to take 600 mg daily of vitamin C. The second group of 418 subjects were instructed to take 600 mg of vitamin C and 200 IU of vitamin E daily. The third group of 404 subjects were instructed to take 600 mg of vitamin C and 400 IU of vitamin E daily. The incidence of flu over a season was recorded. All subjects knew which treatment they were receiving.In this study, which is the control group? the second group of 418 taking 200 IU of vitamin E the third group of 404 taking 400 IU of vitamin E the 1132 subjects the first group of 310 taking vitamin C alone There is no control group.A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. In the study, a group of researchers studied 1132 subjects. The subjects were randomly assigned to out of three study groups. The first group of 310 subjects were instructed to take 600 mg daily of vitamin C. The second group of 418 subjects were instructed to take 600 mg of vitamin C and 200 IU of vitamin E daily. The third group of 404 subjects were instructed to take 600 mg of vitamin C and 400 IU of vitamin E daily. The incidence of flu over a season was recorded. All subjects knew which treatment they were receiving.This study is double-blind not an experiment blind, but not double-blind not blind. none of the above
- A study published in JAMA in 2004 examined past results of other studies on bariatric surgery. Bariatric surgery is done to replace the size of the stomach in various ways. It is typically used on only obese patients, and one the traditional form of the surgery, gastric bypass has a 1% mortality (death) rate caused by surgery. However, in the studies reporting on the effects of the surgery on Type ll diabetes, 1417 of 1846 diabetic patients recovered completely from diabetes after surgery. These patients no longer need medication like insulin (which is injected into the skin) or pills to help manage blood sugar. What is the percentage of patients who recovered from diabetes in 2014? What is the number of patients in the sample that have recovered?The Virginia Department of Health publishes COVID-19 vaccination data on their website. As of 10/5/2021, 60.6% of the population of Virginia is fully vaccinated. This rate varies drastically from county to county. Specifically, Fairfax County’s full vaccination rate is 74% and Lee County’s full vaccination rate is 40%. A researcher took a random sample of 14 individuals from Fairfax County and another random sample of 14 individuals from Lee County and asked them whether they could verify that they are fully vaccinated. Each sample was selected in a single day. 1. Calculate the mean and standard deviation of the number of individuals from Fairfax County and Lee County in this sample who are fully vaccinated. Show your work using the binomial mean and binomial standard deviation formulas and provide your two means and two standard deviations in your document. Round your answers to two decimal places. (It is not necessary to use StatCrunch for this part.) 2. Calculate the probability…A study published in JAMA in 2004 examined past results of other studies on bariatric surgery. Bariatric surgery is done to replace the size of the stomach in various ways. It is typically used on only obese patients, and one the traditional form of the surgery, gastric bypass has a 1% mortality (death) rate caused by surgery. However, in the studies reporting on the effects of the surgery on Type ll diabetes, 1417 of 1846 diabetic patients recovered completely from diabetes after surgery. These patients no longer need medication like insulin (which is injected into the skin) or pills to help manage blood sugar. If you had a morbidly obese relative with diabetes what would you tell him or her about bariatric surgery? Explain. Would you recovered it? Why/ why not?