The following table classifies 500 people who are given the Covid-19 test by their Covid-19 test positive or negative and by whether or not have Covid-19 virus. (IN IMAGE BELOW) If one of these 500 people is selected randomly, find the following probabilities: a) P (A2 ∪ B2) b) P B1 | A1
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The following table classifies 500 people who are given the Covid-19 test by their Covid-19 test positive or negative and by whether or not have Covid-19 virus.
(IN IMAGE BELOW)
If one of these 500 people is selected randomly, find the following probabilities:
a) P (A2 ∪ B2)
b) P B1 | A1
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- In a COVID-19 study involving 10,000 university students aged at least 25 years were observed for ten months. All students received a free COVID-19 testing at the start of the study and each month thereafter. At the baseline medical testing, 80 students were diagnosed as having the COVID-19 virus and 20 of these students died during the 10-month follow-up. By the end of follow-up, 240 other students were infected with the virus, including 30 who died from their disease. 200 other students (who did not develop COVID-19) died from other causes. Answer the following questions based on this information. Show working, give answers to 3 significant figures, and show units where appropriate.1a. What was the prevalence of COVID-19 in the study population at baseline?1b. What was the 10-month case-fatality “rate” in students with COVID-19 at baseline? Why is the word “rate” in quotation marks?1c. What was the cumulative incidence (incidence proportion) of COVID-19 during the 10- month…In the current pandemic, researchers are working on creating antibody tests to determine which individuals have already had an infection caused by the COVID-19 virus. If someone has been infected, then they will have certain antibodies in their system and the hope is that a highly accurate test can be created to detect these antibodies. Assume a researcher creates a new antibody test, which for individuals who are known to have had the infection in the past and thus truly have the COVID-19 antibodies, gives a positive result 95% of the time. This same test gives a negative result 90% of time for people who do not have the antibodies. Assume that COVID-19 has affected 5% of the population in the region of interest. What is the probability someone has NOT been infected previously given that their antibody test result comes back positive? [four decimals]Covid-19 Situation Report, Table 4b, represents the number of confirmed Covid 19 cases of top 50affected countries as per the COVID 19 Situation report released by World Health Organization onMay 31, 2020.1 716 078 465 166 148 285 94 858 89 741 84 627 38 571 26 688 16 908 14 70212 531 30 967 148 950 83 384 69 496 55 262 33 896 26 192 23 449 15 09411 468 16 851 405 843 272 830 239 600 232 664 181 482 163 103 148 436 58 18646 257 41 658 37 113 32 203 30 762 24 929 23 672 23 571 19 133 17 01216 638 11 633 11 381 10 858 182 143 44 608 25 773 84 570 34 366 17 224Table 4bPage 5 of 6Determine the following types of averages for the discrete dataset in Table 4b;a) Airthmetic Meanb) Medianc) Mode
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- It is known that 86% of persons with insomnia also have reported a problem with fatigue. Dr.Delgado’s patient Bob reports no problem with fatigue.a. Based on this information, should Dr. Delgado decide that Bob has insomnia? Explainyour answer. b. If further testing reveals that Bob does have insomnia, explain how the previous decisionin part (a) of this problem could have occurred.write out your observations and comments regarding the comparison of confirmed cases of COVID-19 and economic development among swing, solid blue, and solid red states. For example, do swing states, on average, have more (or less) confirmed cases of COVID-19 and better (or worse) economic development than solid red and solid blue states? Are these observations or findings attractive to you? How would you explain these observations or findings? Political affiliation: Swing States State Case Rate per 100,000 GDP Per Capita in Q2 2020 ($) Arizona 5,079 48,105 Florida 4,886 47,802 Georgia 4,766 54,696 Michigan 4,271 47,612 Nevada 5,541 50,783 North Carolina 3,804 52,133 Pennsylvania 3,280 56,540 Wisconsin 7,587 53,934 Political affiliation: Solid Red States State Case Rate per 100,000 GDP Per Capita in Q2 2020 ($) Arkansas 5,671 40,033 Indiana 5,703 51,102 Kansas 5,780 55,423 Nebraska 7,248 61,875 Kentucky 4,490 43,396 Oklahoma 5,224 43,736 Tennessee…The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 642642 employed persons and 745745 unemployed persons are independently and randomly selected, and that 376376 of the employed persons and 300300 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2p2 ), who have registered to vote? Use a significance level of α=0.1α=0.1 for the test. Step 1 of 6: State the null and alternative hypotheses for the test. Step 2 of 6: Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6: Compute the weighted estimate of p, p‾‾p‾. Round your answer to three decimal places. Step 4 of 6: Compute the value of the test statistic. Round your answer to two decimal places. Step 5 of 6: Determine…