An economist at the Florida Department of Labor and Employment needs to estimate the unemploymentrate in Indian River county. The economist found that 4.84% of a random sample of 709 county residentswere unemployed.Find three different confidence intervals for the true proportion of Indian River county residents who areunemployed. Calculate one confidence interval with a 90% confidence level, one with a 95% confidencelevel, and one with a 97% confidence level. Notice how the confidence level affects the margin of error andthe width of the interval.Report confidence interval solutions using interval notation. Express solutions in percent form, rounded totwo decimal places, if necessary.The margin of error for a 90% confidence interval is given by E =A 90% confidence interval is given by

From the provided information,Confidence level = 90%, 95% and 97%

Answered: An economist at the Florida Department…

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 researcher finds that individuals with a high school education or less are more likely to have hypertension than individuals with at least some college education. They report a relative risk of 2.1 with a 95% confidence interval or (1.6, 2.5). They then stratify their analysis by smoking status and report a relative risk of hypertension in smokers with a high school education or less as compared to smokers with at least some college education of 1.4 with a 95% confidence interval of (0.9, 1.9), and a relative risk of hypertension in non-smokers with a high school education or less as compared to non-smokers with at least some college education of 2.6 with a 95% confidence interval of (2.1, 3.2), Which of the following is not true? A) there is effect modification by smoking status B) there is effect modification by hypertension status C) there is no statistically significant assocation between education and hypertension amoung smokers D) Education and hypertension are not…
Several years ago, 46% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,055 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,055 surveyed, 488 indicated that they were satisfied. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: p (Type integers or decimals rounded to two decimal places as needed.) versus H,:p Use technology to find the 90% confidence interval. We are 90% confident the proportion of parents who had children in grades K-12 that were satisfied with the quality of education the students receive is between and (Type integers or decimals rounded to two decimal places as needed.) What is the correct conclusion? O A. Since the interval does not contain the proportion stated…
Several years ago, 48% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,035 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,035 surveyed, 497 indicated that they were satisfied. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? HP versus H₁: p (Round to two decimal places as needed.) Use technology to find the 90% confidence interval. The lower bound is The upper bound is (Round to two decimal places as needed.) What is the correct conclusion? OA. Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed. OB. Since the interval does not contain the proportion stated in the…
According to a recent Government survey, 6% of all merchandise sold in the U.S. gets returned. A Houston department store sampled 80 items sold in January and found that 12 items were returned. Create a 90% confidence interval for the proportion of returns at the Houston store.
A poll reported that only 645 out of a total of 2029 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Find an 80% confidence interval and interpret it. The 80% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is ____.
A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Construct a 90% confidence interval estimate of the proportion of unemployed heads of households in the population.
A Gallup poll of 1487 adults showed that 43% of the respondents have Facebook pages. Construct a 95% confidence interval for the proportion of adults who have a Facebook page.
A university health services physician is concerned about how much sleep freshman are getting. She asked a simple random sample of 100 students if they got at least 8 hours of sleep the previous night. then she constructs a 90% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night. Explain what would happen to the width of the interval if the confidence level were increased to 95%
A university health services physician is concerned about how much sleep freshman are getting. She asked a simple random sample of 100 students if they got at least 8 hours of sleep the previous night. then she constructs a 90% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night. Explain what would happen to the width of the interval if the sample size would decrease to 25 students
Ms. Rains believes more seniors from PLD plan to attend college than seniors at Lafayette. In a random sample of 35 PLD seniors, 21 responded they plan to attend college. In a random sample of 32 Lafayette seniors only 17 responded they plan to attend college. Using a 95% confidence interval, predict the true difference in the proportion of seniors at PLD and Lafayette who plan to attend college and comment on Ms. Rains' belief.
Suppose the English department of a local university has a total of 105 faculty members. Of this number, 24 (about 23%) are part-time instructors. Is it appropriate to find a confidence interval for the percentage of part-time instructors in the department? Find a 95% confidence interval or explain why you should not find a confidence interval for the percentage of part-time instructors in the English department.
A study is conducted by a physical therapist to determine whether there is a difference in the proportion of men and women in the U.S. that participate in regular sustained physical activity. It is found that 22% of menout of 550 and 19.5% of women out of 450 participated in regular sustained physical activity. Construct a 90% confidence interval for the difference in proportions of men and women that participate in regular sustained and state your conclusion.

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