2 In order to evaluate the diagnostic accuracy of a new rapid test for Tuberculosis,results of the screening test were compared to the Reference golden standard(confirmatory test) in 20,000 patients. From 1200 individuals who tested positiveby the rapid test, only 400 were confirmed +ve. From 18800 individuals whotested negative by the rapid test, 1200 were confirmed tuberculosis -ve.Thesensitivity and the specificity of this screening test are equal to:Sn=0.022 & Sp%3D0.6Sn-0,978 & Sp%3D0.4Sn=0.4 & Sp-0.978O Sn=0.6 & Sp%30.978

Answered: Image /qna-images/answer/0f0791d5-d265-492e-9839-0b36e9ac9500.jpg

Answered: In order to evaluate the diagnostic…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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It is desired to test the claim that a steady diet of wolfbane will cause a lycanthrope (werewolf) to lose 10 lbs. over 5 months. A random sample of 56 lycanthropes was taken yielding an average weight loss over 5 months of 12.5 pounds, with S = 7 lbs. Identify the critical value suitable for conducting a two-tail test of the hypothesis at the 5% level.
What is the appropriate conclusion for this test? (Do not reject OR reject) H₀ and conclude that there (is or is not) sufficient evidence that mice with an average life span of 32 months will live to be (less or greater) than 42 months old when 40% of the calories in their diet are replaced by vitamins and protein.
An inventor, working at a science tech lab, believes innovations in satellites are increasing. The inventor would like to test the claim that the average number of new ideas for satellite development per month at the science tech lab is over 60 new ideas. Using the computed test statistic of 1.05 and the critical value of 1.28, is there enough evidence for the inventor to reject the null hypothesis? Use the graph below to interpret the critical value. First select the appropriate test type (left-, right-, or two- tailed), then plot the points along the x-axis (for the critical value and test statistic), and use them to choose the appropriate interpretation.
A random sample of 100 male employees showed that 42 are working from home while a random sample of 100 female employees showed that 63 are working from home. Are the two population proportions equal? Test at alpha=0.05. What is Ho and Ha? And what is the test statistic value for this test? Based on the test statistic value, what is your decision?
It has been claimed from previous studies that the average diameter of ball bearings from this manufacturing process is 2.30 cm. Based on the sample of 50 that you collected, is there evidence to suggest that the average diameter is greater than 2.30 cm? Perform a hypothesis test for the population mean at alpha = 0.01 Define the null and alternative hypothesis for this test in mathematical terms and in words ,report the level of significance, include the test statistic and the P-value and provide your conclusion and interpretation of the results. Should the null hypothesis be rejected? Why or why not? STEP 1 Diameters data frame diameters 0 1.96 1 2.91 2 2.67 3 2.12 4 2.51 5 2.87 6 3.14 7 2.35 8 2.66 9 2.37 10 1.77 11 1.90 12 2.35 13 2.53 14 3.03 15 2.82 16 2.23 17 2.63 18 2.07 19 3.02 20 2.51 21 2.89 22 2.13 23 1.98 24…
It is believed that a sweetener called xylitol helps prevent ear infections. In a randomized experiment, 165 children took a placebo and 68 of them got ear infections. Another sample of 159 children took xylitol and 46 of them got ear infections. The scientists believe that the proportion of ear infections in the placebo group will be greater than the xylitol group. Test this hypothesis at α = 0.025.
In the initial test of the Salk vaccine for polio, 400,000 children were selected and divided into two groups of 200,000. One group was vaccinated with the Salk vaccine while the second group was vaccinated with a placebo. Of those vaccinated with the Salk vaccine, 33 later developed polio. Of those receiving the placebo, 115 later developed polio. Test the hypothesis that the Salk vaccine is effective in lowering the polio rate. Use a=0.01 Apply p-value and classical approach. Show step1-ste03.
A hospital reported that the regular death rate for patients with extensive burns has beensignificantly reduced by the use of new fluid plasma compresses. Before the new treatment, themortality rate for extensive burn patients was about 60%. Using the new compresses, the hospitalfound that 40 out of 88 (45.45%) patients with extensive burns died. Use a 1% level of significanceto test the claim that the mortality rate has dropped and clearly state your conclusion.
assuming an average estimate is 45 minutes for the procedure presented in the image, how do i state the null and alternative hypothesis? how would I calculate the test statistic? with an alpha of 0.05 what would be the critical value? using the critical method what can I conclude?
You predict that a salesclerk at the mall will take longer to help a potential customer that is dressed in sloppy clothes vs a potential customer dressed in business attire. After running the study you find support for your hypothesis with the obtained value exceeding the critical value at the p < .05 level. Why wouldn't you want to say that you proved your hypothesis correct? What other sources might be a better explanation for your findings?
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.
An investigator is interested in testing the recovery rate post intervention between a new and an existing treatment. She anticipates that the new treatment will increase the proportion with a successful full recovery from 60% to 72%. In a randomized trial with an equal number of participants per group, how many total participants are needed to have 80% power for the above (with alpha=0.05)?

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