**Retirement Intentions among Arkansas Teachers: Statistical Analysis**A study was conducted among 180 teachers in the state of Arkansas to assess their retirement plans. The results revealed that 35 of these teachers were considering retirement within the next five years.**Tasks:**(a) **Confidence Interval for Proportion**: Calculate a 95% confidence interval for the proportion of Arkansas teachers contemplating retirement in the next five years. Ensure your calculations are rounded to five decimal places.- Confidence Interval: [ ___ ] to [ ___ ](b) **Estimated Number of Retiring Teachers**: Given that there are 38,000 teachers in Arkansas, determine the 95% confidence interval for the actual number (how many) of teachers likely to retire in the next five years. Round your final answers to the nearest whole number.- Number of Teachers: [ ___ ] to [ ___ ] This analysis helps in understanding the potential retirement rate among teachers, which is crucial for workforce planning and policy formulation in the educational sector.

The sample size, i.e., the sampled number of teachers, n=180.The number of sampled teachers, who are…

Answered: A sample of 180 teachers in the state…

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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b. In the year 2000, a survey of 1171 U.S. adults were asked who they felt was the greatest President. Of those surveyed, 397 reported that Abraham Lincoln was the greatest President. Use this data to construct a 99% confidence interval for the population proportion of all U.S. adults who would say that Abraham Lincoln was the greatest president before the year 2000. Answer using decimals and round to four decimal places
CNN is conducting a poll, and wants to produce a 90% confidence interval for the proportion of all New York residents who favor legalizing recreational marijuana. Of the 602 randomly selected New Yorkers surveyed, 394 were in favor of the initiative. a. With 90% confidence, the proportion of New York residents who favor legalizing recreational marijuana is between BLANK and BLANK. b. Suppose that we survey 602 randomly selected Americans many times, and calculate a confidence interval for each group. About Blank . percent of these confidence intervals will contain the true population proportion of New Yorkers who favor legalizing recreational marijuana, and about BLANK percent will not contain the true population proportion.
The figure to the right shows the results of a survey in which 1018 adults from Country A, 1025 adults from Country B, 1005 adults from Country C, 999 adults from Country D, and 999 adults from Country E were asked whether national identity is strongly tied to birthplace. Construct a 95% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 95% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is (____),(____) The 95% confidence interval for the proportion of adults from Country B who say national identity is strongly tied to birthplace is (____),(____) The 95% confidence interval for the proportion of adults from Country C who say national identity is strongly tied to birthplace is (____),(____) The 95% confidence interval for the proportion of adults from Country D who say national identity is strongly tied to…
Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)
Through polling, it was estimated that the percent of people who will vote for a particular candidate in an upcoming election is 36.2%. If the margin of error is 3.5, give the confidence interval for the percentage of people who will vote for the candidate in the upcoming election.% to %
Suppose X,,X,,...,X, is a random samples from normal distribution with mean, µand variance, n ΣΧ Let Y,, Y2,., Y, be an independent chi square distribution, each with 1 i=1 1 and X= degree of freedom. State the distribution and parameter(s) of each of the following random variables. a) J= \n(X – u)
Thelma and Louise are each attempting to estimate the proportion of adults who enjoy listening to country music. They each survey a different random sample of adults, and in each sample, the proportion who say they enjoy listening to country music is 0.29. Thelma and Louise each use their sample data to construct a confidence interval. Thelma's interval is from 0.242 to 0.338 and Louise's interval is from 0.237 to 0.323. One of these intervals was computed correctly and the other was not. Which interval must be the correct one? It's impossible to answer this question without knowing the level of confidence used for each interval. It's impossible to answer this question without knowing the sample sizes. O It's impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval. Thelma's interval must be the correct interval. O Louise's interval must be the correct interval.
A sociologist is comparing the proportion of teenage boys who receive a text message at least once an hour to the percentage of teenage girls who do. She has collected data from 150 men and 150 women. Which of the following is not a condition that the sociologist should check before creating a confidence interval for the difference in population proportions?
Suppose you compute a 93% confidence interval. What will happen to the confidence interval if you decrease the confidence level to 91%?
You want to create a confidence interval for the difference in the percent of people over 40 who took music lessons as children and the percent of people 20-40 who took music lessons as children. You decide to use the Plus Four method. You ask 30 people over 40 and find that 21 of them took music lessons as children. You ask 25 people 20-40 and find that 13 took music lessons as children. Fill in the blanks for what you would put into your calculator's interval function. Have people over 40 be group 1. X1 = n1 = X2 = n2 =
You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 407 randomly selected caterpillars observed, 43 lived to become butterflies. Round answers to 4 decimal places where possible.
The figure to the right shows the results of a survey in which 2000 college graduates from the year 2016 were asked questions about employment. Construct 99% confidence intervals for the population proportion of college students who gave each response. Employment College students' responses to questions about employment Expect to stay at first employer for 3 or more years Completed an apprenticeship or intemship 70% 66% Employed in field of study 61% Feel underemployed 46% Prefer to work for a large company 15% The 99% confidence interval for the proportion of college students that expect to stay at their first employer for 3 or more years is (Round to three decimal places as needed.)

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