which is represented in the following table, were derived from a study of the effectiveness of a flu vaccine. The value in each cell of the table represents the number of individuals in that category. Some participants in the study were given no vaccine, some were given one injection, and some were given two injections. No Vaccine One Injection Two Injections Flu 8 11 27 No Flu 289 51 122 What is the probability that a person received two injections? Note: For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four

which is represented in the following table, were derived from a study of the effectiveness of a flu vaccine. The value in each cell of the table represents the number of individuals in that category. Some participants in the study were given no vaccine, some were given one injection, and some were given two injections. No Vaccine One Injection Two Injections Flu 8 11 27 No Flu 289 51 122 What is the probability that a person received two injections? Note: For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four

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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A postgraduate student studying genetics at Copper belt University was attempting to cross a tiger and a cheetah. He predicted a phenotypic outcome of the traits he was observing to be in the following ratio 4 stripes only: 3 spots only: 9 both stripes and spots. When the cross was performed and he counted the individuals she found 50 with stripes only, 41 with spots only and 85 with both. According to the Chi-square test, did he get the predicted outcome? In your answer include; A possible null hypothesis (H0) that the engineer might have proposed. Clearly show your workings.
You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 5% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 6.9 4.7 3.5 7.7 5.9 3.8 1.4 3.8 5.2 2 4.9 2.6 2.7 5.6 3.4 1.3…
A study used 1259 patients who had suffered a stroke. The study randomly assigned each subject to an aspirin treatment or a placebo treatment. During a 3-year follow-up period, in Sample 1, 634 people received placebo treatments and 25 people died from heart attack. In sample 2, 625 people received aspirin treatment and 18 died from heart attack. Let pl denote the population proportion of death from heart attack for those with no treatment and p2 denote the population proportion of death from heart attack for those with aspirin treatment. (c) Which of SEO and SE1 is used for calculating a confidence interval for comparing two population proportions? Which is used for calculating the test statistic in a hypothesis test? (d) Construct the 95% confidence interval for pi – p2. Interpret.
Suppose a researcher conducted a study examining the effectiveness of font type (OpenDyslexic vs. Times New Roman) on reading comprehension for 20 students with dyslexia. After reading a passage in one of the two fonts, 10 students in each of the two font conditions completed a brief reading comprehension test of 15 questions. The number of correctly answered questions for each student is given in the table below: Complete the following in the context of conducting data analysis/ a. Calculate the average number of correct test questions for each group b. Calculate the standard deviation for each group c. Calculate the median and mode for both groups d. Calculate the interquartile range for each group OpenDyslexic 10 9 11 8 24867 12 14 Times New Roman 6675 & Na 43 4 2 8 9
A nutritionist working for the United States Department of Agriculture (USDA) randomly selected three cartons of eggs from all of the available cartons of standard large eggs at a neighborhood grocery store. Each egg in the randomly selected cartons had their nutritional content analyzed.The data provided here are the amounts of milligrams of cholesterol in each of the sampled eggs. 186, 188, 179, 180, 192, 186, 183, 177, 184, 178, 191, 174,189, 176, 190, 188, 196, 187, 184, 184, 192, 194, 198, 183,183, 181, 187, 190, 186, 176, 183, 185, 191, 180, 184, 182 Test the validity of the claim, at the 0.01 level of significance, that the mean amount of cholesterol in a standard large egg is under 190 mg.
A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers Admitted strangers into their home Didnot admit strangers into their home Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable Is this a directional or non directional
A manufacturer ran an experiment to compare the wearing qualities of two different types of automobile tires, A and B. In the experiment, a tire of Type A and one of the type B were randomly assigned and mounted on the rear wheels of each of five cars. the cars were then operated for x miles and the amount of tire wear was recorded (higher number represents more wear). Is there sufficient evidence to conclude that there is a difference in the average wear? Use 0.05 level of significance. Tire A 10.6 9.8 12.3 9.7 8.8 Tire B 10.2 9.4 11.8 9.1 8.3
You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 10% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 5.3 6.6 10.5 6.4 8.9 5 4 0.2 2.9 2.6 4.6 2.9 0.8 2.4 2.5 1.9…
A Journal published longitudinal study of hearing impairment in a group of elderly patients with intellectual disabilities. The hearing function of each patient was screened each year over a 10 - year period. At the study's conclusion, the hearing loss of each patient was categorized as severe, moderate, mild, or none. The classification of the 28 surviving patients are summarized in the following table. Hearing loss Number of Patients None 7 Mild 7 Moderate 9 Severe 5 Total 28 Conduct a test to determine whether the trueproportions of intellectually disabled elderly patients in each ofthe hearing-loss categories differ. Use a 5% significance level. We are doing this on a Ti84 plus Calculator.
The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 1616 City 11 33 City 2 2626 City 12 99 City 3 1212 City 13 2121 City 4 55 City 14 44 City 5 22 City 15 55 City 6 2626 City 16 44 City 7 66 City 17 2020 City 8 2525 City 18 1717 City 9 1616 City 19 2222 City 10 66 City 20 2525 Construct a 95 % confidence interval for the average number of papers published in major world cities. blank <μ<blank
A 2017 random study of 10,478 Bangladesh children tracked the washing habits of the children's mothers via random survey to understand the relationship of these habits with childhood wasting. The data provided include responses from mothers to two items in this survey. The first variable represents a household's access to food: food secure, mildly food insecure, moderately food insecure, or severely food insecure. The second variable represents the mothers' responses when asked whether they use soap when washing clothes. These researchers wish to study if there is a relationship between washing habits and food security. Are the conditions for a chi-square test of independence met? Did not use Used soap soap Food secure 921 Mildly food insecure 5591 81 200 Moderately 89 food insecure 203 Severely 825 Food insecure 2568 Not enough information No Yes