3. Interval estimation - The role of sample size in confidenceintervalsSuppose you are interested in the proportion of two-bedroom homes located in a particular city that are owner occupied. You randomly select asample of two-bedroom homes from the population of two-bedroom homes in that city. The sample provides a sample proportion of 0.62. Youconstruct a 95% confidence interval for the proportion of two-bedroom homes that are owner occupied.If the number of two-bedroom homes in the sample is 100, then the confidence interval isIf the number of two-bedroom homes in the sample is 250, then the confidence interval isAs the sample size increases, the confidence intervalSuppose you would like to have a confidence interval that is about 0.028 wide. What sample size do you need to achieve that 0.028? (Note: Selectthe sample size that most closely matches the desired interval width.)250500O 5,000O 1,000

Answered: 3. Interval estimation - The role of…

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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You want to construct a 99% confidence interval for the proportion of retail stores that went out of business due to the recent pandemic. You managed to collect a random sample of 93 retail stores and found 15% of them shut down permanently. Construct and interpret the confidence interval.
Auniversity would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3,500 and is routinely sold out. It was discovered that a total of 250 fans out of a random sample of 400 purchased concessions during the game. Construct a 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.
PROBLEM: A psychologist asks a random sample of 30 female adolescents and a separate, random sample of 30 male adolescents how much time they spend communicating with others online on an average day. She compares the time spent communicating online of female adolescents with that of male adolescents. In your project include: The problem and data. Calculate and interpret the correct 90% confidence interval for the mean difference in the two groups average time spent communicating online. (Use the 4 steps) Preform the correct significance test to test the claim that females spend more time than males communicating online. Use a level of significance of 0.05 and then use a level of significance of 0.10. Explain your results for each alpha. (Use the 4 steps) Answer the initial question and explain how you should use the confidence interval AND significance test to answer it. Review the rubric to make sure you include all necessary components. 1. Data: Hours…
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)
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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.
. In a random sample of 400 private high school students, 320 said they brought a smartphone to school that day, while in a random sample of 400 public high school students, 288 said they brought a smartphone to school that day. Which of the following represents a 98 percent confidence interval estimate for the difference (private high school minus public high school) between the proportions of all private high school and public high school students who bring a smartphone to school? (0.8)(0.2) (0.72)(0.28) (A) (0.8-0.72)±1.96, 400 400 (B) (0.8-0.72)±2.054, + (0.8)(0.2) (0.72)(0.28) 400 400 (C) (0.8-0.72)±2.326 + (0.8)(0.2) (0.72)(0.28) 400 400 1 (D) (0.8-0.72)±2.054, (0.76)(0.24) + 400 400 (E) (0.8-0.72)±2.326, (0.76)(0.24) + I 400 400
1- You want to construct a 99% confidence interval for the proportion of retail stores that went out of business due to the recent pandemic. You managed to collect a random sample of 93 retail stores and found 15% of them shut down permanently. Construct and interpret the confidence interval.
Suppose you are given the following information from a sample of data: variance is 484 the number of observations in the sample is 65 for a confidence level of 96%, calculate the margin of error
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.

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