A researcher wishes to estimate, with 95% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 3% of the true proportion.(a) No preliminary estimate is available. Find the minimum sample size needed.(b) Find the minimum sample size needed, using a prior study that found that 32% of the respondents said they think Congress is doing a good or excellent job.(c) Compare the results from parts (a) and (b).(a) What is the minimum sample size needed assuming that no prior information is available?n = 1067 (Round up to the nearest whole number as needed.)

The random variable who thought Congress is doing a good or excellent job follows binomial…

Answered: Aresearcher wishes to estimate, with…

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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A global corporation is currently in the process of expanding its operations, and the only option is to move to another site. The Human Resource Team has conducted a survey to its employees who live far from the site in order to find out if they are willing to stay in dormitories. The survey categorizes its respondents according to gender. In the samples sample of 500 males and 800 females, those who are willing to stay in dormitories are 241 and 168, respectively. Construct a 98% confidence interval for the difference between the two population proportions. Assuming that the HR’s estimated difference between the proportion of genders who are willing to stay in dormitories is 35%, is the team’s estimation accurate?
A politician wants to estimate the proportion of the voting population in the district who favor the tax proposal. She wants to be able to say her estimate is good to within 2 percentage point with 95% confidence. Assuming she has no prior information about what the proportion might be, she should ask her pollsters to take a sample size of approximately 1692 2401 25 4802 49
You are doing a research project in political science to determine the proportion of voters in your district who favor capital punishment. a. If no preliminary sample of voters is taken to estimate p, how large a sample is necessary to be 99% sure that the point estimate will be within a distance of .01 from p? b. The NORC found that approximately 67% of people in the U.S. favor capital punishment. How large a sample is necessary to be 99% sure that the point estimate will be within a distance of .01 from p?
The bookstore at IRSC would like to estimate the proportion of students who prefer electronic textbooks (eBooks) over printed textbooks (hard copies). A random sample of 30 students was surveyed. Their preferences are listed below. eBook eBook eBook eBook eBook eBook eBook eBook eBook eBook eBook eBook eBook hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy hard copy Determine the point estimate, ① and the sample standard deviation, S. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary. Sp Using a 97% confidence level, determine the margin of error, E, and a confidence interval for the proportion of all students at the college who work prefer eBooks over printed textbooks. Report the confidence interval using interval notation. Report the solutions in percent form, rounded to two decimal places, if necessary.…
You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. a) How many households would you need to sample to be within 2 percent of the proportion of all households in Chicago that have two or more vehicles at a 90% level of confidence. b) You conduct a small preliminary sample, and you obtain a sample proportion of 19.5% that have two or more cars. Using this new information, what sample size should you gather in order to be within 2 percent of the proportion of all households in Chicago that have two or more vehicles at a 90% level of confidence.
A polisher wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%
A political candidate has asked you to conduct a poll to determine what percentage of people support her.If the candidate only wants a 3% margin of error at a 99% confidence level, what is the minimum sample size needed for the study?Give your answer as a whole number.
Suppose we estimated that 68 percent of Santa Fe students believe that black coffee is disgusting. If we wanted to know the true proportion of the students who share the same view at 99 percent confidence and 4.5 percent margin of error, how many people would we need to sample?
A local cellular phone company wishes to estimate the proportion of Clinton County people who own a cellular phone. A previous study showed the proportion to be about 25%. What is the minimum number of people that should be randomly selected so the cellular company is 95% confident that the estimate is within 5% of the true proportion of cellular phone users?
The Department of Health and Human Services has been asked to estimate the proportion of "latch-key" children (children who have their own key and come home to an empty house) in New Jersey. This estimate is to be within plus or minus 0.03 of the true population proportion with a 98% level of confidence. The head of the Department's Family Division has no idea of what this proportion might be, so she uses 0.5 as the “estimate" of p. What size sample of New Jersey's children should be taken? 5.
You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. a) How many households would you need to sample to be within 1.5 percent of the proportion of all households in Chicago that have two or more vehicles at a 95% level of confidence. b) You conduct a small preliminary sample, and you obtain a sample proportion of 20% that have two or more cars. Using this new information, what sample size should you gather in order to be within 1.5 percent of the proportion of all households in Chicago that have two or more vehicles at a 95% level of confidence.
Find the sample size needed to determine, with a margin of error of one percent, the percentage of Americans who think North Korea is the greatest foreign threat. Use 90% confidence, and assume about 22% of Americans think that North Korea is the greatest threat.

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