For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in healthcare prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that 60% of U.S. employers werelikely to require higher employee contributions for health care coverage in the upcoming year. Suppose the survey was based on a sample of 979companies. Compute the margin of error and a 95% confidence interval for the proportion of companies likely to require higher employeecontributions for health care coverage in the upcoming year.The margin of error:(to 4 decimals)The 95% confidence interval:) (to 4 decimals)

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Answered: For many years businesses have…

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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When a population has less variability, for the same margin of error and confidence level, the confidence interval becomes a. larger b. smaller c. of unchanged size
In 2013, the Pew Research Foundation reported that "48% of U.S. adults report that they live with one or more chronic conditions". However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.6%, and a normal model may reasonably be used in this setting. Create a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions. Report your answer as a percentage rounded to 3 decimal places. We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between % and
A survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 220 of 400 executives answered Yes, while in a previous year survey, 176 of 400 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time. (Use current year − previous year. Round your answer to four decimal places.) to
In a study of treatments for very painful "cluster" headaches,... Find the 90% confidence interval using technology.
Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,025 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,025 surveyed, 484 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
In a study designed to determine whether there was a cluster of brain cancer cases at a Pratt & Whitney plant, record from 223,000 employees were studied and 723 employees with brain tumors were found. Treat those employees as a random sample and construct a 95% confidence interval estimate of the proportion of all adults who develop such tumors. write a brief statement interpreting that confidence interval.
For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that 52% of U.S. employers were likely to require higher employee contributions for health care coverage. Suppose the survey was based on a sample of 600 companies. Compute the margin of error and a 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage. If required, round your answer to four decimal places. Round intermediate calculations to four decimal places. Margin of Error: 0304 Confidence Interval: 4854 to 5546
Suppose NBC has asked the same question to a sample of 1296 adults nine months earlier, finding 47% with an optimistic outlook for the year ahead. Develop a 95% confidence interval for the percentage of American adults who had an optimistic outlook for the economy nine months earlier.
Suppose a sample of 9 customers spends an average of $200 with a standard deviation $20 what is a 95% confidence interval for the sample mean. Use the fact that 95% of sample means are within 2.306 standard errors of the sample mean.
What effect would increasing sample size have on a confidence interval? What effect would decreasing sample size have on the margin of error?

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