Below is the table of population counts for acondition and its screening test. (Recall that Ameans the condition is present and B means thescreening test is positive.) On parts (a)-(e) be-low, show enough work for me to understandhow you obtained your answer; e.g. don't justwrite down “0.5."ВBºTotalA10812120A°42698740Total150710860(a) What proportion of the population is freeof the condition?(b) What proportion of the population has thecondition and would test positive?(c) Of those who have the condition, whatproportion would test negative?(d) What proportion of the population wouldreceive a correct screening test result?(e) Of those who would receive an incor-rect screening test result, what proportionwould receive a false negative?

Answered: Image /qna-images/answer/000bee45-3171-4857-afbe-e84ba0729d87.jpg

Answered: Below is the table of population counts…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Only 15% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 331 randomly selected registered voters surveyed, 40 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? The null and alternative hypotheses would be: H0: (=,<,>,not equal to) ________ (enter as decimal) H1: (=,<,>,not equal to) ________ (enter as decimal) The test statistic (z,t) = _____(3 decimal places) The p-value = _____(4 decimal places) The p-value is (less than, greater than) a
Wertheretal et al. examined the β-leucocyte count (/ L) in 51subjects with colorectal cancer and 19 healthy controls. The cancer patients were also classified into Dukes’s classification (A,B,C) for colorectal cancer that gives doctors a guide to the risk, following surgery, of cancer coming back or spreading to other parts of the body. An additional category (D) identified patients with disease that had not been completely resected. The results are displayed in the following table. Perform an analysis of these data in which you identify the sources of variability and specify the degrees of freedom for each. Do these data provide sufficient evidence to indicate that, on average, leucocyte counts differ among the five categories? Let α=0.01 . Write the null and alternative hypotheses of this study. Test the claim using the ANOVA Table. If you reject the null hypothesis, interpret your results using multiple comparison test Bonferroni. What assumptions must be made in part (b)? Are they…
The news release referenced in the previous exercise also included data fromindependent samples of teenage drivers and parents of teenage drivers. In response to aquestion asking if they approved of laws banning the use of cell phones and texting whiledriving, 74% of the teens surveyed and 95% of the parents surveyed said they approved.The sample sizes were not given in the news release, but suppose that 600 teens and 400 parents of teens were surveyed and that these samples are representative of the twopopulations. Do the data provide convincing evidence that the proportion of teens whoapprove of banning cell phone and texting while driving is less than the proportion ofparents of teens who approve?
In a survey by Bea et.al., it was found that 218 of 1,062 urban residents had a history of allergic disorder while 728 of 1,000 rural dwellers had no history of such disorder whatsoever. Using an alpha level of 0.10, determine if the proportion of urban and rural residents with a history of allergic disorder are different. 1st statement: The sample proportion of urban residents with history of allergic disorder is 20.53% 2nd statement: The sample proportion of rural residents with history of allergic disorder is 72.80% a. both are true b. both are false c. first is teue, second is false d. first is false, second is true
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. The p-value for the test of whether the proportion of people who trade in their old cars to a car dealer has decreased is 0.0427. If we were to test this hypothesis at the 5% level of signficance, what can you conclude concerning the null hypothesis?
Historically, the proportions of all Caucasians in the United States with blood phenotypes A, B, AB, and O are .41, .10, .04, and .45, respectively. To determine whether current population proportions still match these historical values, a random sample of 200 American Caucasians were selected, and their blood phenotypes were recorded. The observed numbers with each phenotype are given in the following table.ABABO89181281Is there sufficient evidence, at the .05 level of significance, to claim that current proportions differ from the historic values?a) State the hypotheses.b) Find the critical value at the 5% significance level (rounded off to four decimals).c) Calculate the value of the Chi-square test (rounded off to two decimals).d) State the conclusion at the 5% significance level
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. What is/are the critical value(s) when performing a Z test on whether population proportions are different if α=0.05? Round to three decimal places. A. −1.960 B. ±1.960 C. ±1.645 D. ±2.080
The Ministry of Education has announced that, if there is strong evidence showing that the population proportion is 87% for private high schools recruiting new teachers, then the Ministry will also increase the recruitment of new teachers in public high schools. A survey of 80 personnel directors from private high schools revealed that 61 of them would be hiring new teachers over the next three months. At the 0.10 significance level, can we conclude that the population proportion of new recruits by private high schools is less than 87%? (use 2 digits after decimal point) a. Decision rule is reject H0 if AnswerAnswer b. Value of test statistic is Answer c. What is your decision regarding the null hypothesis?Answer
Only 19% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 398 randomly selected registered voters surveyed, 84 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? The null and alternative hypotheses would be: H0 = (p,u) (<,>,=,not equal) to _____ H1 = (p,u) (<,>,=,not equal) to _____ The test statistic (t,z) = ___ (please show your answer to 3 decimal places.) The p-value = _____ (Please show your answer to 4 decimal places.) Based on this, we should (accept, reject, fail to reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 19% at αα = 0.01, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be higher than 19%. The data suggest the population proportion is not…
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.
Historically, 15% of all Americans claim to have seen a UFO. A paranormal researcher claims that this proportion has now increased. Of 269 randomly selected Americans, 44 claim to have seen a UFO. At the 0.05 significance level, can the researcher conclude that the proportion of Americans that claim to have seen a UFO has increased from 15% For the hypothesis testing scenario above, compute the P-value.
The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown in the excel worksheet. Predict the midterm grade if the prelim grade is 85.

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