The table below shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patientswith known TB status. Use it to answer the questions below.Test for TBTB absentTB presentNegative17398Positive5122Use this table to calculate the sensitivity and specificity of the test. Suppose that you have theknowledge that the prevalence of TB in a population is P(D) = 0.001, use the previously calculatedsensitivity and specificity to answer the following questions about testing a patient from the population(not those used in the study in the table.)1. Using the law of total probability, calculate P(Pos), the probability that a randomly chosen personfrom the population tests positive for the disease and P(Neg), the probability that a randomly chosenperson tests negative for the disease.2. Using Bayes' formula, find the probability that a patient who tested positive has the disease P(D||Pos) and the probability that a patient who tested negative is healthy P(H| Neg).3. If the disease prevalence were P(D) =0.5, repeat the calculations to find the new P(D | Pos) and P(H|Neg).

The table below shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patients with known TB status. Use it to answer the questions below. Test for TB TB absent TB present Negative 1739 8 Positive 51 22

The table below shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patients with known TB status. Use it to answer the questions below. Test for TB TB absent TB present Negative 1739 8 Positive 51 22

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

See similar textbooks

Similar questions

A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 4949 women over the age of 50 used the new cream for 6 months. Of those 4949 women, 3333 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 6060% of women over the age of 50? Test using ?=0.05α=0.05. test statistics ?=z= rejection region ?>z>
A test of body reaction to the Malaysian citizens who have taken their vaccine was conducted.Selected citizens who got side effect are categorised according to their blood type and the typeof vaccine received. From a sample of 250 citizens, 150 of them were administered withSinovac while the rest received AstraZeneca. Table 4 shows the number of citizens who hadside effect after being vaccinated. i) Complete Table 4 by finding the values of M and N. ii) Does different blood type among people who had side effect relate to the type of vaccinereceived at a=0.025?
In a study of tooth paste, 40 children used paste without fluoride resulting in a mean of 5.65 cavities with s1=1.3 . 40 children used paste with fluoride and this sample revealed mean of 4.75 cavities with s2=1.1. Do these results indicate a significant difference between two groups? Perform two-sided test at 2% SL, give all steps of procedure, interpret obtained result in terms of given example.
A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alertness. A sample of n = 9 college students is obtained, and each student’s performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by MD = 14 points after the meal with SS = 1152 for the difference scores. What type of t-test would you have to conduct in this scenario?Are the data sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. State the hypothesis, find the critical region, calculate your test statistic, and evaluate your hypothesis then calculate the Cohen’s d measure for this scenario. State whether this is a weak, moderate, or strong effect.
Data from a recent year showed that 55% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 135 of the 240 students, it trained that year were accepted. Assume these trainees were representative of the population of applicants. Has the company demonstrated a real improvement over the average? What is the P-value?
What is the MS between and MS within? what is the MS subject? what is the Sm (needed in the Tukey test)
A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 60 women over the age of 50 used the new cream for 6 months. Of those 60 women, 50 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 40% of women over the age of 50? Test using α=0.05 test statistics z=? rejection region z>? The final conclustion is A. We can reject the null hypothesis that p=0.4 and accept that p>0.4 That is, the cream can improve the skin of more than 40% of women over 50.B. There is not sufficient evidence to reject the null hypothesis that p=0.4 That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 40% of women over 50.
A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n = 16 students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each student's reaction time is measured. The scores for the sample averaged M = 220 milliseconds with SS = 6000. Assuming that reaction time for students in the regular population averages μ = 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Test at the .05 level of significance. Make a point estimate and a 95% confidence interval estimate for the treated population mean.
The personality trait of "Conscientiousness" (someone who is organized, responsible, and can control their impulses) has μ = 120 and σ =9. Test whether ARC students (n = 9, M = 126) differ on Conscientiousness. α = .05. Does the z score for the sample mean lie in the critical region (beyond the critical boundary)?
Assume that MLR1-6 hold. We can say that the coefficient is statistically significant at the 5% level if the t-statistic is less than -2 and the degrees of freedom are larger than 60. True False
The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?