3. An industry is considering the revision of its retirement policy and wants to estimatethe proportion of employees that favor the new policy. The industry consists of 87separate plants located throughout the United States. Because the results must beobtained quickly and with little cost, the industry decides to use cluster sampling witheach plant as a cluster. A simple random sample of 15 plants is selected, and theopinions of the employees in these plants are obtained by questionnaire. The resultsare as shown in the accompanying table.Number favoringNumber ofemployees, minew policy, aiPlant151422625334940734551016364831 765388493097354106145115851125229136546144937155542a. Estimate the proportion of employees in the industry who favor the newretirement policy, and place a bound on the error of estimation.b. The industry modified its retirement policy after obtaining the results of thesurvey. It now wants to estimate the proportion of employees in favor of themodified policy. How many plants should be sampled to have a bound of 0.08on the error of estimation? Use the data above to approximate the results ofthe new survey.

Exercise 1: a) To construct a scatterplot of percent ash (y) versus density (x) and verify if a…

Answered: 3. An industry is considering the…

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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Need help with parts C & D The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 191 Americans is administered the acupuncturists treatment and 25 report experiencing migraines.a. State Hypotheses to the scenario using the correct symbols. b. What is the sample proportion? (Round to 2 decimal places) ˆpp^= c. Suppose the P-value is calculated to be 0.0318What would your decision be for this test using α=α= 0.025? fail to reject the null accept the null reject the null d. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.
1. Suppose the proportion of American adults who work at home is 40%. For a random sample of 100 American adults, what is the distribution of the sample proportion?
The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1079 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. High school Bachelor's 258 40.9 101.8 263 41.8 97.5 270 42.2 94.4 Graduate 288 43.0 98.7 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F= Variation within the samples For the data from…
California insurance companies wanted to study factors (e.g., the proximity to a major earthquake fault line) that may influence homeowners’ decisions to purchase earthquake insurance. Surveys were mailed to randomly selected households in three California counties to investigate the possible proximity effect. The data collected are shown below: Los Angeles San Bernardino Santa Clara sample size 1,000 1,400 1,200 Number with 377 469 390 earthquake insurance Los Angeles County is located closest among the three to a major earthquake fault line. Are homeowners in Los Angeles County more likely to purchase earthquake insurance than those in San Bernardino County? Test using α = 0.05. (Optional) Are homeowners in Los Angeles County more likely to purchase earthquake insurance than those in Santa Clara County? Use α = 0.05.
International experience around the world is important in our culture of globalization. According to NAFSA, 54.5% of all American students traveling abroad went to Europe in the 2014-2015 academic year. To determine if there is shift in the proportion of students traveling to Europe, suppose a random sample of 300 students who had studied abroad was taken for the 2015-2016 school year. One-hundred sixty of the students traveled to Europe. a. Conduct a test to determine if the proportion of students traveling to Europe has changed. Be sure to provide a complete write-up. b. Based on the hypothesis test, would you expect 0.545 to be in confidence interval for the proportion? Explain without constructing the interval.
The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188
If groups of participants are selected to represent sub-groups in the population (e.g. such as selecting an entire class of Social Work students to be compared to a group of Sociology students), this is known as Select one: a. Cluster sampling. b. Haphazard sampling. c. Simple random sampling. d. Opportunity sampling.
A report provided the following information on gender of smartphone users for representative samples of young people age 15 to 24 in several different countries. Country Percent Female Percent Male United States 53% 47% Spain 38% 62% Italy 37% 63% India 19% 81% (a) Suppose the sample sizes were 1000 for the United States and for India and 500 for Spain and Italy. Complete the following two-way table by entering the observed counts. Country Female Male United States Spain Italy India (b) Carry out a hypothesis test to determine if there is convincing evidence that the gender proportions are not the same for all four countries. Use a significance level of 0.05. State the null and alternative hypotheses. H0: The gender proportions of smartphone users are not the same for all countries. Ha: The gender proportions of smartphone users are the same for all countries.H0: The gender proportions of smartphone users are the same for all…
You may need to use the appropriate technology to answer this question. During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. 0.31, PCBS = 0.26, PNBC = 0.27, PIND 0.27, PIND = 0.16. Ho: : The proportions are not pPABC Наi РАВС 3 0.31, РсвS 0.26, PNBC 0.16 0.27, 0.16 Но: РАВС 0.31, Рсвs 3D 0.26, Наi РАВС + 0.31, РсвS PNBC + 0.26, PNBC ± 0.27, , PIND + 0.16 Ho: PABC + 0.31, PCBS + 0.26, PNBC + 0.27, PIND + 0.16 0.26, PNBC 0.27, PIND = 0.16 %D На РАВС - 0.31, РсBs 0.26, PNBC 0.27, PIND 0.16 Нo: РАВС - 0.31, РсBS H: The proportions are not PABC 0.16. 0.31,…
15 Projected undernourished individuals. In 2020, The FAO, IFAD, UNICEF, WFP, and WHO published a brief .... NOURISH report on the state of food security and nutrition in the world. There were 687.8 million undernourished people in the world in 2019. One of the sections in the report shows the distribution of these people as shown in the following table: Region Africa Asia Northern America and Europe Oceania Latin America and the Caribbean Percentage of undernourished people (%) 36.4 55.4 0.9 0.4 6.9 a. Describe the variable measured in the table. b. These results were displayed in the form of a pie chart. Reconstruct the pie chart from the information given in the table. c. How many of the 687.8 million undernourished people in the world in 2019 were in Africa? d. As Africa has many third world countries, people might expect Africa to have the highest number of undernour- ished people in the world. Does the information in the pie chart, part b, support this contention? Explain why or…
Suppose you are hired to design how to implement a survey to try to predict who will win the race for mayor in the city of Modesto. While someone else will be writing the survey questions, you are in charge of making sure that the sampling method is not biased (otherwise the results are invalid). You decide to use stratified sampling to get a sample that represents the population. You are told that you need to subdivide the population into four or more subgroups. 1. Describe how you will subdivide the population into four or more subgroups. Explain. 2. Explain how you will be choosing the people that will be part of your sample.

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