3. Michael wants to make a confidence interval estimate for the proportion of communitymembers in favor of a tax increase for more local school funding. If he wants the marginof error to be no more than 0.025 at a 90% confidence level,a) What is the required sample size required to obtain the desired margin of error?b) Suppose he guesses that about 30% are in favor for the tax increase. What will be therequired sample size in this case? Assume the same margin of error and confidencelevel.

Given,margin of error, confidence level

Answered: 3. Michael wants to make a confidence…

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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9. A study of 420,082 cell phone users found that 140 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0243% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %
4. Researchers are interested in the average heart rate of male college students. Assume a random sample of 130 male college students were taken from 200 students for the study. Find a 95% confidence interval for the actual proportion of students.
An advertising agency wants to estimate the response rate for a new flyer. The agency sent the flyer to 100 randomly selected people and received 12 orders. a. What is the point estimate for the population proportion? b. What is the standard error of the proportion? c. Find 94% confidence interval for the percentage of those people who will place an order.
Suppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 percent and a margin of error of 4 percent. What is the width of the confidence interval?
An educator wants to construct a 99% confidence interval for the proportion of elementary school children in Michigan who are proficient in reading. Estimate the sample size needed to conduct this survey and assume that there there is no information available to be used from a previous study. Use a margin of error of 3%. What is the sample size: _________
b. At 99% confidence, what is the margin of error? c. Develop a 99% confidence interval for the difference between the two population means.
a. What is the best estimate for the standard error of the sampling distribution? b. What is the value of Z for this confidence interval? c. What is the margin of error for this confidence interval?
Imagine that you obtain a random sample of 125 M&M candies, and you notice that 28% of these candies are blue. If we convert the sample percentage of 0.28 to a sample proportion (by dividing 28 by 100), we get 0.28.
Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means. Is the sampling distribution of the difference in sample means approximately normal? A) Yes, because Alicia selected a random sample. B) Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size. C) Yes, because the size of each sample is at least 30. D) No, because the distribution of Brand A shoes has outliers. E) No, because the shape of the population distribution is unknown.
7. use the given confidence interval to find the margin of error and the sample proportion. a. (0.719,0.745) b. (0.753,0.777)
The president’s policy on domestic affairs received a 45% approval rating in a recent poll. The margin of error was given as 0.035. What sample size was used for this poll if we assume a 95% confidence level?
In the Star and Tribune newspaper, there is an article entitled "1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. How large a sample would you have to take in order to construct a 95% confidence interval estimate for the true proportion of buses that fail the inspection and achieve a margin of error of plus or minus 2%? (your answer should be an integer)

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