plz solve it within 30-40 mins I'll upvote your answer In order to evaluate the diagnostic accuracy of anew rapid test for COVID-19, results of thescreening test were compared to the Referencegolden standard (PCR test) in 20,000 individuals.From 1200 individuals who tested negative by therapid test, only 800 were confirmed -ve. From18800 individuals who tested positive by the rapidtest, 17600 were confirmed COVID-19 positive. Ifthe prevalence of COVID-19 is equal to 65%, thenthe probability of a individual with a positive rapidtest to be PCR positive is:97.1%86.7%75.2%65.1%

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Answered: In order to evaluate the diagnostic…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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in order to evaluate the diagnostic accuracy of new rapid test for COVID-19 results of the screening test were compared to the Reference golden standard (PCR test) in 2000 individuals. from 120 individuals who tested negative by the rapid test. only 8 were found COVID-19 positive. from 1880 individuals who tested positive by the rapid test, 176 were found COVID-19 negative. the FP rate is equal to: 38.9% or 2.2% or 61.1% or 60%
A student-researcher claims that the difference between the proportion of male athletes and that of female athletes in a certain university who live in Makati is far from 7.25%. 285 male athletes have been selected at random, and 113 of them reside in Makati. On the other hand, 171 female athletes have been chosen as samples, and 67 of them are from Makati as well. At alpha = 0.01, is there sufficient evidence to support the student-researcher’s claim? (Critical value approach)
A certain prescription drug is known to produce undersirable side effects in 30% of all patients who use the drug. Among a random sample of 6 patients using the drug, find the proabability of no patient having the undersirable side effects.
A comprehensive trial investigating the relationship between vitamin E supplementation and reduced risk for prostate cancer was carried out across the US. Suppose the trial reported that among the 648 patients receiving the supplement program, 267 developed prostate cancer, while only 212 of the 711 patients without the supplementation developed the disease. Carry out a formal test to determine if there is a significant difference in the risk for developing prostate cancer among the two groups. Write out your null and alternative hypotheses and use an alpha level of 0.05. Also, Comment on the effectiveness of the supplementation at reducing prostate cancer. What did you find relevant to the research hypothesis?
A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the researcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 2400 women from the first country yielded 698 women with anemia, and an independently chosen, random sample of 1700 women from the second country yielded 544 women with anemia.Based on the study can we conclude, at the 0.10 level of significance, that the proportion p1 of women with anemia in the first country is less than the proportion p2 of women with anemia in the second country?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to 3 or more decimal places. (I have…
A study was carried out to determine the efficacy and efficiency of the EAT-40 Test to detect eating disorders, where 2641 examinations of the EAT-40 Test were carried out and compared with the results of the gold test Bulimia Test - Revised (BULIT -R). The results obtained are the following: of those that were applied the EAT-40 Test came out normal (-) 1738, of which 1251 were healthy and of those that came out abnormal (+) in the EAT-40 Test, 634 if they were sick. What is the specificity of the test? How many false negative results were found? How many patients developed the pathology? How many patients did not develop the pathology? What is the sensitivity of the test? What is the positive predictive value of the test? How many patients tested positive?
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 205 cases tested in a certain state, 13 were found to be drug-resistant. Suppose also that, of 375 cases tested in another state, 7 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.) A. H0: Ha: B. a) Find the value of the test statistic. (Round your answer to two decimal places.) b) What is the p-value? (Round your answer to four decimal…
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 =…
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?
In a study9 on the effects of AZT in slowing the development of AIDS symptoms, 338 veterans whose immune systems were beginning to falter after infection with the AIDS virus were randomly assigned either to receive AZT immediately or to wait until their T cells showed severe immune weakness. Output follows of modeling the 2 × 2 × 2 cross-classification of race, whether AZT was given immediately, and whether AIDS symptoms developed during the three-year study. What null hypothesis is tested by the difference between the null deviance and the residual deviance? Interpret. Explain how to set up indicator variables for azt and race to obtain the estimates shown.
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 221 cases tested in a certain state, 14 were found to be drug-resistant. Suppose also that, of 322 cases tested in another state, 6 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.) 1) State the null and alternative hypotheses. (Enter != for ≠ as needed.) 2) What is the test statistic & P-value? 3) what is the conclusion? A) Reject H0. There is a significant difference in drug resistance between the two states. B) Reject H0.…
A humane society claims that less than 67% of US households own a pet. In a random sample of 600 U.S households, 390 say they own a pet. At alpha= 0.10, is there enough evidence to support the society's claim?

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