me that is below the poverty line. the following statements, specify whether the statement is a correct interpretation of the 95% confidence int (21/120) of Gastown residents are living below the poverty line. ? a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals er random sample of 120 Gastown residents is drawn, there is a 95% probability that the sample proportion o andom samples of 120 Gastown rocidents are drawn O596 of the ceculting confidence integvals will contain

me that is below the poverty line. the following statements, specify whether the statement is a correct interpretation of the 95% confidence int (21/120) of Gastown residents are living below the poverty line. ? a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals er random sample of 120 Gastown residents is drawn, there is a 95% probability that the sample proportion o andom samples of 120 Gastown rocidents are drawn O596 of the ceculting confidence integvals will contain

Name: Refer to the following scenario. A government official is in charge o
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Description: Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should belocated based on the percentage of residents living belo

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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On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 99% confidence level that the proportion of first-class survivors is the same as third class (.25).What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test? Passengers survivedCrew 885 212First 325 202Second 285 118Third 706 178Total 2201 710
From a random sample of 120 students, 95 rated a case of plagiarism as unethical. Using this information, you computed a confidence interval extending from 0.68 to 0.76 for the population proportion. What is the confidence coefficient of the interval?
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of these statements is a correct interpretation of the confidence level? O Approximately 95% of all animals in the shelter were adopted. O There is a 95% probability that the true proportion of all animals in the shelter that were adopted last month is between 0.12 and 0.24. O If many random samples of size 100 are selected from all records of animals in shelters, approximately 95% of the intervals would capture the true proportion that were adopted. O Approximately 95% of the sample proportions, based on random samples of size 100 from the population of all records of animals in shelters, will fall between 0.12 and 0.24.
Are the statements true or false?
Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a sample proportion of p̂=0.23. What is the margin of error?
4.A prior study(by Pew Research 2021)found that 35 out of 50 randomly selected US adults between the ages of 18 to 29 use (or have used) Instagram. Construct a 99% confidence interval for the population proportion of US adults between the ages of 18 to 29 use (or have used) Instagram. (round to three decimal places) a.Identify the following: X, N, P b.Which distribution should you use for this problem? c.What is the corresponding critical value for a 99% confidence interval? d.Calculate the margin of error (3 decimal places) e.Construct a 99% confidence interval f. Interpret the interval.
A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?
You were interested to know how long do students of mathematics in the university spend studying their math lessons in a day. You asked 10 random students and obtained the following data (in hours): 2, 1.5, 3, 2, 3.5, 1. 0.5, 3, 2, 4. Construct a 99% confidence interval for the average time that students spend studying math in a day. O 1.46 hours to 3.04 hours O none of the choices. O 1.31 hours to 3.19 hours O 0.95 hours to 3.55 hours
A satisfactory survey was conducted on 20 individuals. Assume that the responses were normally distributed and recorded at 90% confidence level. What is the value of their t- score?
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)
Construct a 90% confidence interval for the true proportion of all employees of People Plus Pty who believe that they are under-paid, given that 130 out of a sample of 145 employees support this suggestion. Interpret your answer.
Answer all parts of number 2 and show your work.