FontParagraphStylesQ. 1 The results of the evaluation of a screening test for breast cancer among64,810 subjects show that:There were 177 women who were ultimately found to have had breastcancer, and 64,633 women remained free of breast cancer during the study.Among the 177 women with breast cancer, 132 had a positive screening test(true positives), but 45 had negative tests (false negatives). Among the64,633 women without breast cancer, 63,650 appropriately had negativescreening tests (true negatives), but 983 incorrectly had positive screeningtests (false positives).Define sensitivity, specificity, predictive value positive and predictive valuenegative for the scenario.Define the likelihood ratio (plus and negative) for this scenario. Find alsoConfidence intervals.Find (i) Youden's Index and (ii) Index of validity and efficiency.Comments on your results.e1 of 1237 wordsEnglish (United States)Accessibility: Good to go

Total : 64810(177 + 64633) 177 : Breast cancer 64633: no cancer

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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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AP2.23 There are four major blood types in humans: O, A, B, and AB. In a study conducted using blood specimens from the Blood Bank of Hawaii, indi- viduals were classified according to blood type and ethnic group. The ethnic groups were Hawaiian, Hawaiian-White, Hawaiian-Chinese, and White. Suppose that a blood bank specimen is selected at random. Ethnic Group Blood Hawaiian- Hawaiian- type Hawaiians White Chinese White Total 1903 4469 2206 53,759 62,337 A 2490 4671 2368 50,008 59,537 В 178 606 568 16,252 17,604 АВ 99 236 243 5001 5579 Total 4670 9982 5385 125,020 145,057 (a) Find the probability that the specimen contains type O blood or comes from the Hawaiian-Chinese ethnic group. Show your work. (b) What is the probability that the specimen contains type AB blood, given that it comes from the Hawai- ian ethnic group? Show your work. (c) Are the events "type B blood" and "Hawaiian ethnic group" independent? Give appropriate statistical evidence to support your answer. (d) Now…
5. Help for Insomniacs. In Exercise 1.23, we learned of a study to determine whether just one session of cognitive behavioral therapy can help people with insomnia. In the study, forty people who had been diagnosed with insomnia were randomly divided into two groups of 20 each. People in one group received a one-hour cognitive behavioral therapy session while those in the other group received no treatment. Three months later, 14 of those in the therapy group reported sleep improvements while only 3 people in the other group reported improvements. Create a two-way table of the data. Include row and column labels, as well as totals across and down. a. b. How many of the 40 people in the study reported sleep improvement? c. Of the people receiving the therapy session, what proportion p, reported sleep improvements? Show your calculation with your answer. N d. What proportion of people who did not receive therapy reported sleep improvements? Show your calculation with your answer. N' e.…
A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute the following probabilities. (round to four decimal places) a. PP (affiliated with neither party) == b. PP (better) == c. PP (better|affiliated with neither party) == d. PP (affiliated with neither party|better) == e. PP (affiliated with neither party and better) ==
1.66 Views on immigration: 1160 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below. (Round all answers to the nearest hundredth of a percent) Conservative Moderate Liberal Total (i) Apply for citizenship (ii) Guest worker (iii) Leave the country (iv) Not sure 48 123 180 351 149 116 29 294 179 132 22 333 74 87 21 182 Total 450 458 252 1160 a) What percent of these Tampa, FL voters identify themselves as conservatives? 38.79 b) What percent of these Tampa, FL voters are in favor of the citizenship option? 30.26 c) What percent of these Tampa, FL voters identify themselves as conservative and are in favor of the citizenship option?…
4. Data were collected from a pretest and posttest of students taking a two-week course in substance abuse. Would you use a t-test (and if so, which one), or would you use ANOVA? Given the following data, complete the exercise to see if there is a significant difference between the two tests. Pretest Posttest 84 90 85 75 70 89 65 91 71 85 72 79 84 88 85 85 66 82 67 99
A car dealership would like to test the hypothesis that a difference exists in the city gas mileage (miles per gallon when driven in the city) of three cars, Honda Insight, Hyundai Ioniq, and Toyota Camry. The following data represent the miles per gallon for a random sample of Honda Insight, Hyundai Ioniq, and Toyota Camry cars. Honda Insight Hyundai Ioniq Toyota Camry 40 35 35 36 37 34 37 37 31 38 34 36 38 34 33 36 36 35 Use Excel to perform a one-way ANOVA and state your conclusion using a = 0.05.
A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? (b)What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Show the calculation of the row percentage and the row percentage found in the “0.4 to 0.5” and playing position “out Field ” cell and EXPLAIN the meaning of this percentage. Row Percentage for Out field at bin 0.4 to 0.5 is: 20(32.95%) Percentage Row found at bin 0.4 to 0.5 is: 60(100%)
a) A public health researcher is interested in some factors that influence heart disease. In a survey of 68 randomly selected localities, he gathered data on the percentage of people in each locality who bike to work “Biking”, the percentage of people in each locality who smoke “Smoking”, and the percentage of people in each locality who have heart disease “Heart.Disease”. The researcher wants to find which explanatory variable will be a better predictor of the response variable, “Heart.Disease”. Investigate the relationship between the explanatory variables and response variable to help the researcher find the better predictor. The dataset is called “Heart Disease.” b) The regression equation for “Biking” and “Heart. Disease is= 18.115809 - 0.20845321 Biking. Q1) In one randomly selected location, the researcher found the biking rate was 70%. Use this information to predict the corresponding rate of heart disease in that location. Use the regression equation in part (h) to predict the…
A random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.
For which of the following would it be most appropriate to use an ANOVA to analyze the data? A researcher is interested in determining the most effective format for advertising. He randomly assigns 60 people to one of three groups: (1) television commercial, (2) radio commercial, or (3) magazine advertisement. Group members review the commercial and then report whether or not they would buy the product. In order to determine the effectiveness of different diet plans, 90 people are randomly assigned to one of three groups: (1) low calorie diet, (2) low-fat diet, or (3) low-carb diet. At the end of 60 days, the number of pounds lost was recorded for each of the participants. Both A and B. Neither A nor B.
Q.5 A university is considering implementing one of the following three grading systems: (1) All grades are pass-fail, (2) all grades are on the 4.0 system, and (3) 90% of the grades are on the 4.0 system and 10% are pass-fail. A survey is taken to determine whether there is a relationship between undergraduate major and grading system preference. A random sample of 200 students with engineering majors, 200 students with arts and sciences majors, and 100 students with fine arts majors is selected. Each student is asked which of the three grading systems he or she prefers. The results are shown in the following 3 X 3 contingency table: Grading System Fine arts Arts and sciences Engineering Column Marginal Pass-fail 26 24 20 70 4.0 and Pass-fail 55 118 112 285 19 58 68 145 Row Marginal 100 200 200 500 a. What is a null hypothesis? b. What do you conclude? Use a 0.05.

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