You work for a marketing firm that has a large client in the automobile industry. You have been asked toestimate the proportion of households in Chicago that have two or more vehicles. You have been assignedto gather a random sample that could be used to estimate this proportion to within a 0.02 margin of errorat a 90% level of confidence.a) with no prior research, what sample size should you gather in order to obtain a 0.02 margin of error?Round your answer up to the nearest whole number.n =householdsb) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required.You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.21 . Using this newinformation. what sample size should you gather in order to obtain a 0.02 margin of error? Round youranswer up to the nearest whole number.n =households

Given Z=1.645 P=0.50 P cap=0.21

Answered: You work for a marketing firm that has…

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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Health insurer benefits vary by the size of the company. The sample data below show the number of companies providing health insurance for small, medium, and large companies. For the purpose of this study, small companies are companies that have fewer than 100 employees. Medium-sized companies have 100 to 999 employees, and largevcompanies have 1000 or more employees. The questionnaire sent to 225 employees asked whether or not the employee had health insurance and then asked the employee to indicate the size of the company. Health Insurance Size of company Yes No Total Small. 35 15 50 Medium 67 8 75 Large 87 13 100 A. Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company. What is the p-value? Compute the value of the x2 test statistic (to 2 decimal)
A sample survey by Comcast asked a random sample of customers about use of the Internet and about the type of community they lived in. Here are the results: Internet Users: Rural: 433 Suburban: 1072 Urban: 536 Nonusers: Rural: 463 Suburban: 627 Urban: 388 Is there a relationship between Internet use and community type? Give statistical evidence to support your findings.
A government agency computed the proportion of U.S. residents who lived in each of four geographic regions in a particular year. Then a simple random sample was drawn of 1000 people living in the United States in the current year. The following table presents the results. Region Past YearProportion ObservedCounts Northeast 0.171 150 Midwest 0.245 235 South 0.357 398 West 0.227 217 Send data to Excel Can you conclude that the proportions of people living in the various regions changed between the current year and the past year? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. What the P value?
Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 247 of 700 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a = 0.01 level of significance. 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis Because npo (1-Po) = 172.5 > 10, the sample size is less than are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? 0.56 versus H,: p # 0.56 Ho: (Type integers or decimals. Do not round.) %D Find the test statistic. Zo = (Round to two decimal places as needed.) %D
A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 57 people she sampled who work out in the morning have a mean of 4.8 hours of exercise each week. The 56 people surveyed who exercise in the afternoon or evening have a mean of 4.2 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.8 hours for people who exercise in the morning and 0.3 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening. Step 1 of 2 : Construct a 95% confidence interval for the true difference between the mean amounts…
A research poll included 1614randomly selected adults who were asked whether "global warming is a problem that requires immediate government action." Results showed that 972 of those surveyed indicated that immediate government action is required. A news reporter wants to determine whether these survey results constitute strong evidence that the majority (more than 50%) of people believe that immediate government action is required. Complete parts (a) through (c) below. a. What is the best estimate of the proportion of adults who believe that immediate government action is required? the best estimate is ?
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…
A research poll included 1762 randomly selected adults who were asked whether "global warming is a problem that requires immediate government action." Results showed that 975 of those surveyed indicated that immediate government action is required. A news reporter wants to determine whether these survey results constitute strong evidence that the majority (more than 50%) of people believe that immediate government action is required. Complete parts (a) through (c) below. a. What is the best estimate of the proportion of adults who believe that immediate government action is required? The best estimate is ☐ (Round to three decimal places as needed.)
You may need to use the appropriate appendix table or technology to answer this question. In the past, 19% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03? Use a 95% confidence level. (Round your answer up to the nearest whole number.) (b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.) Need Help? Read It option esc ! 1 T Q A Z 96 2 W S X 88 command Watch It O #3 E Master It a D C $ 4 R F ~ ♫ % 5 V T G m MA 6 MacBook Pro B Y H & 7 U N D W * 8 J P 1 T M ( K 1 & O **** ) O 1 H L cricut P V command T { x + 11 ? option } រ dele
A real-estate appraiser wants to verify the market value for homes on the east side of the city that are very similar to size and style. The appraiser wants to test the popular belief that the average sales price is $37.80 per square foot for such homes. Suppose that a random sample of six sales were selected. The sampled sales prices per square foot are $35.00, $38.10, $37.20, $29.80, $30.30, and $35.40. Assuming a normal distribution is a good model for sales, test the claim that the mean sales price per square foot differs from $37.80 at the 1% significance level.
A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 56 people she sampled who work out in the morning have a mean of 4.4 hours of exercise each week. The 63 people surveyed who exercise in the afternoon or evening have a mean of 4.2 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.8 hours for people who exercise in the morning and 0.7 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening. Step 1 of 2: Construct a 99% confidence interval for the true difference between the mean amounts of…
The problem is It is widely believed that 19% of all students live in campus housing. You suspect that claim is not accurate. You take a sample of 150 students from the population and find that 39 of those students live in campus housing. The part I am having trouble with is: Assuming the null is true, how many standard errors is the sample proportion away from the null? I need help remembering how to find the standard error. I know that the answer is 2.19.

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