In a poll conducted by the Pew Research Center in 2003 (A-13), a national sample of adults answered the following question, “All in all, do you strongly favor, favor, oppose, or strongly oppose . . . making it legal for doctors to give terminally ill patients the means to end their lives?” The results showed that 43 percent of the sample subjects answered “strongly favor” or “favor” to this question. If 12 subjects represented by this sample are chosen at random,

In a poll conducted by the Pew Research Center in 2003 (A-13), a national sample of adults answered the following question, “All in all, do you strongly favor, favor, oppose, or strongly oppose . . . making it legal for doctors to give terminally ill patients the means to end their lives?” The results showed that 43 percent of the sample subjects answered “strongly favor” or “favor” to this question. If 12 subjects represented by this sample are chosen at random,

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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An article published in the “American Journal of Public Health” describes the results of a health survey administered to 119 male convicts, 50 years of age or older, residing in a state social rehabilitation center. It was found that 21.6% of them claimed to have a history of venereal diseases. Based on these findings, we wish to evaluate whether more than 15% of this population has a history of venereal diseases. After evaluating the information, what would be the conclusion? A. In the population of male convicts aged 50 years or older, residing in the state social rehabilitation center, more than 15% have a history of venereal diseases. B. In the population of male convicts aged 50 years or older, residing in the state social rehabilitation center, it is not possible to say that more than 15% have a history of venereal diseases. C. In the population of male convicts aged 50 years or older, residing in the state social rehabilitation center, on average more or less 21.6% have a…
From the U.S. Census Bureau's American Community Survey in 2019 it was found that 33.13% of United States residents over the age of 25 had an educational attainment of a bachelor's degree or higher. In the District of Columbia, the percentage of residents over the age of 25 who had attained a bachelor's degree or higher was 59.67%. An investigator for the U.S. Census Bureau took a random sample of seven residents from the District of Columbia and asked them their highest educational degree they had obtained. When there is no data set posted for an investigation, open a blank StatCrunch page by clicking "Open StatCrunch" on the StatCrunch home page. a) Verify that the sample from the District of Columbia satisfies the conditions of the binomial experiment. Write one sentence to check each requirement in context of the investigation. b) Assuming the sample from the District of Columbia is a binomial experiment, build the probability distribution in a single table and include the table in…
In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" 480 men and 480 women were asked this question. 21% of the men and 27% of the women responded "Yes". Based on this survey, can it be concluded that there is a difference in the proportion of men ( p1 ) and women ( p2 ) responding "Yes"? Use a significance level of α=0.1 for the test. Step 2 of 5 : Compute the weighted estimate of p, p‾. Round your answer to three decimal places.
Consider the hypothetical study described below. Based solely on the information given, do you have reason to question the results of the study? Select all that apply. Sociologists studying domestic violence circulate a questionnaire asking each respondent if she or he has ever abused a spouse or partner. a. Yes, there is reason. The people receiving the questionnaire might not be representative of the population. b. No, there is no reason. It is unlikely that there are any confounding variables in the study c. No, there is no reason. The goal of the study is clear. d. Yes, there is reason. Self-reporting is often not accurate. e. No, there is no reason. There is no bias in the study 1. Yes, there is reason. The wording of the question might produce inaccurate or dishonest responses,
A golf instructor wants to test the following claim: of all golf students in the United States, 65% need the most help with short game shots, 22% need the most help with approach and swing, 9% need the most help with driver shots, and 4% need the most help with putting. A random sample of golf students finds that 276 need the most help with short-game shots, 99 need the most help with approach and swing, 42 need the most help with driver shots, and 18 need the most help with putting. Test the claim at σ = 0.10.
In a study about learning styles, researchers used a group of 64 elementary school students who volunteered to be part of the study. The researchers gave each student a pre-test and based upon the results, they divided them into 32 pairs of similarly scoring students. School administrators then randomly assigned one student from each pair to mathematics instruction online while the other student received in-person instruction in a traditional classroom. At the end of the year, all 64 students received a mathematics assessment, measured on a 100-point scale. The researchers calculated the difference (in person −− online) in the mathematics assessment scores for each pair of students. The 32 differences had a mean of 15 and a standard deviation of 3.9 points. Construct and interpret a 95% confidence interval for the mean difference (in person −− online) in the mathematics assessment scores for all pairs of students like these who learn math either face-to-face or online.
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The Pew Research Center reported in 2018 that 68% of U.S. adults rated "reducing health care costs" as a national priority. This year a survey is conducted with a national sample of 1,505 U.S. adults selected by a combination of landline and cell phone random digit dials. This year's survey finds that 70% of the sample says that "reducing health care costs" is a national priority. We test the following hypotheses: H0H0: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is still 0.68. HaHa: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68. The P-value is 0.045. At a 5% significance level, we would reject the null hypothesis and concluded that the proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68. Explain the P-value in the context of this issue.
2. We want to investigate whether there exists gender bias on traffic stops by the police here in Charlotte. The Charlotte Open Data Portal includes information on different characteristics of drivers being stopped. We collected the data from 2017 and we are interested in answering the question: "Of all the drivers who are stopped, are female drivers less likely to get searched than male drivers? From the data collected we observed that 438 out of the 24,314 female drivers were searched, whercas 2,244 out of 34,095 male drivers were scarchcd. (a) that the proportion of female drivers being searched is smaller than the proportion of male drivers being searched? Is there sufficient evidence at the 0.05 significance level to conclude Construct the appropriate confidence interval for the hypothesis (b) test of part (a) and state your conclusion.
From the U.S. Census Bureau’s American Community Survey in 2019 it was found that 33.13%of United States residents over the age of 25 had an educational attainment of a bachelor’sdegree or higher. In the District of Columbia, the percentage of residents over the age of 25 whohad attained a bachelor’s degree or higher was 59.67%. An investigator for the U.S. CensusBureau took a random sample of seven residents from the District of Columbia and asked themtheir highest educational degree they had obtained. a) Verify that the sample from the District of Columbia satisfies the conditions of thebinomial experiment. Write one sentence to check each requirement in context of theinvestigation.b) Assuming the sample from the District of Columbia is a binomial experiment, build theprobability distribution in a single table and include the table in your solutions. You maypresent this table horizontally or vertically and leave the probabilities unrounded. Thereare two possible ways to do this: To…
The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test. A. Define the null and alternative hypotheses to test this claim. B. By hand, calculate the test statistic for this test. C. Use…