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- To investigate whether there is a significant difference between two regions of a state in the percent of voters who intend to vote for the incumbent governor in the next election, a polling agency interviewed 300 randomly selected voters from the north of the state and 400 randomly selected voters from the south of the state. Of those interviewed, 200 from the north and 325 from the south indicated they intended to vote for the incumbent governor in the next election. Which of the following is the most appropriate method for analyzing the results? A one-sample zz-test for a sample proportion A A one-sample zz-test for a population proportion B A two-sample zz-test for a sample proportion C A two-sample zz-test for a difference in sample proportions D A two-sample zz-test for a difference in population proportions EDo well-rounded people get fewer colds? A study on the Chronicle of Higher Education was conducted by scientist at Carnegie Mellon University, the University of Pittsburgh and the University of Virginia. They found that people who have only a few social outlets get more colds than those who are involved in a variety of social activities. Suppose that of the 276 healthy men and women tested, n1=96 had only a few social outlets and n2=105 were busy with six or more activities. When these people were exposed to a cold virus, the following results were observed: Construct a 99% confidence interval for the difference in the two population proportions.According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% 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 lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking. The college president is interested in testing her suspicion that the proportion of students at her college that binge drink is lower than the national proportion of 0.41 at a level of significance of . Carry out the test and report your conclusion. (round to 2 decimal places, determine the p value – 4 decimal places and report your conclusion.) Based on the sample of these 462 students calculate . State the null and…
- In a random sample of 215 potential voters registered in the state of Kentucky, 107 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 210 potential voters registered in South Carolina, 77 indicated that they planned to vote in the next general election. Can we conclude, at the 0.01 level of significance, that the proportion p1 of all potential voters in Kentucky who plan to vote is greater than the proportion p2 of all potential voters in South Carolina who plan to vote? Perform a one-tailed test.Suppose that 73.2% of all adults with type 2 diabetes also suffer from hypertension. After developing a new drug to treat type 2 diabetes, a team of researchers at a pharmaceutical company wanted to know if their drug had any impact on the incidence of hypertension for diabetics who took their drug. The researchers selected a random sample of 1000 participants who had been taking their drug as part of a recent large-scale clinical trial and found that 718 suffered from hypertension. The researchers want to use a one‑sample ?z‑test for a population proportion to see if the proportion of type 2 diabetics who have hypertension while taking their new drug, ?p, is different from the proportion of all type 2 diabetics who have hypertension. They decide to use a significance level of ?=0.01α=0.01. Determine the value of the ?z‑test statistic. Give your answer precise to two decimal places. Determine the ?-valueP-value for this test. Give your answer precise to three decimal places.A study is being carried out in the operating room of the Regional Hospital of Veraguas to establish whether the type of surgery influences the appearance of nosocomial infections in obese patients who underwent a tubular gastrectomy. The 80 patients in the study are divided into two groups, one of whom had had an open surgery (44 patients) and the others a clean surgery. There were 37 patients with infection from open surgery and 14 with infection from clean surgery. If you did not have a nosocomial infection, what is the probability that you had clean surgery? What is the probability that a patient will have clean surgery? What is the probability that a patient will have open surgery? What is the probability of clean surgery or nosocomial infection? What is the probability of no nosocomial infection or clean surgery? If you had clean surgery, what is the probability of a nosocomial infection? If you had clean surgery, what is the probability of no nosocomial infection? If you had…
- A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to do so. The firm did a similar study 10 years ago and found that 70% 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. The company tests to determine at the 0.01 level whether the population proportion has changed from the previous study. Which of the following is most correct? Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has changed over the past 10 years. Do not reject the null hypothesis and conclude that there is not sufficient evidence that the pro- portion of employees who are…Suppose that 80% of 3–4-year-old children and 70% of5–8-year-old children in a village are vaccinated with QIVvaccine. Also assume that children who are not vaccinatedhave twice the incidence of influenza as the control groupin Table 3.7.3.29 What % of 3–4-year-old children in the village will getinfluenza?3.30 What % of 5–8-year-old children in the village will getinfluenza?3.31 Suppose we identify a 5–8-year-old child with influenzain the village but are uncertain whether the childwas vaccinated. If we make the same assumptions as inProblems 3.29–3.30, then what is the probability that thechild was vaccinated? (Hint: Use Bayes’ rule here.)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. If the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses? A. H0:π1−π2≤0 versus H1:π1−π2>0 B. H0:π1−π2≥0 versus H1:π1−π2<0 C. H0:π1−π2=0 versus H1: π1−π2≠0 D. H0:π1−π2≠0 versus H1:π1−π2=0
- A researcher is interested in factors related to academic performance of students. She hypothesized that for undergraduate students, there is an association between academic majors (STEM, Business, Education, Nursing) and amount of time spent studying each week (less than 3 days, 3 to 6 days, everyday). To test her hypothesis, she randomly selected 1000 undergraduate students from various colleges/universities in Texas, and then classified each participant according to their major and amount of study time each week. For her study, she found test-statistic of 23.75 and a p-value of 0.0006. Using this information, fill in the necessary information below for her test. Distribution used: a. chi-square distribution, 3 degrees of freedom b. chi-square distribution, 4 degrees of freedom c. chi-square distribution, 6 degrees of freedom d. chi-square distribution, 12 degrees of freedomA study is made to determine if a cold climate contributes more to absenteeism from school during December than a warmer climate. Two groups of students are selected at random, one group from Baguio and the other from Metro Manila. Of the 300 students from Baguio, 72 were absent at least one day during December, and of the 400 students from Metro Manila, 70 were absent one or more days. Can we conclude that a colder climate, results in a greater proportion of students being absent from school at least one day during December? Use 0.01 level of significance.An insurance company is thinking about offering discounts on its life insurance policies to nonsmokers. As part of its analysis, the company randomly selects 200 men who are 60 years old and ask them if they smoke at least one pack of cigarettes per day and if they have ever suffered from heart disease. 10 out of the 38 smokers had suffered from some type of heart disease and 12 out of 150 nonsmokers had suffered from some type of heart disease. Can we conclude at the 5% level of significance that smokers have a higher incidence of heart disease than nonsmokers? (Don't hand writing solution)
