Answered: 7. Why is a confidence interval also…

Name: 7. Why is a confidence interval also called a "margin of error"?
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 7. Why is a confidence interval also called a "margin of error"?

Math

Statistics

7. Why is a confidence interval also called a "margin of error"?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 2. Why do we feel more confident with a 99 percent confidence interval than a 90 percent confidence…

A: It is needed to define the reason for being more confident for a 99% confidence interval than a 90%…

Q: Define why a confidence interval makes clear that one should not accept the null hypothesis

A: Despite the size of the sample, it is not possible for an individual to conclude that the null…

Q: If you think a data point is an outlier, what test can you perform to see if you should omit the…

A: An outlier in a data set is a value that is significantly large or small compared to the other…

Q: How to identify the length of confidence interval

A: An Interval's Length : The definition of the length of a confidence interval is normally…

Q: Suppose you want to produce an estimate on the percent of students who return to college after their…

Q: 6. If your boss in order to save money decreases the sample size, what will happen to the width of…

A: The width of the confidence interval is the difference of lower limit and upper limit of a…

Q: 47. Out of 400 people sampled, 372 had kids. Based on this, construct a 99% confidence interval for…

Q: How to Construct a 99% confidence interval for the true proportion of all workers who believe that…

A: It is given that the sample size (n) is 130 and x is 100.

Q: 4. When creating the confidence interval, we utilize the standard error of the sample proportion.…

A: It is an important part of statistics. It is widely used.

Q: Exercise 19. Why are narrow confidence intervals better than wide ones? Discuss how n, o², and a…

A: Confidence intervals are used to estimate the range of values in which the true population parameter…

Q: What is the impact of increasing the confidence level for a confidence interval? Makes the interval…

A: We are assuming that all other things are constant. Confidence Interval is range that contains all…

Q: 4. Develop a method for estimating the parameter of the Poisson distribution by a confidence…

A: Statistics is the science of collecting, organizing, presenting, analyzing,and interpreting data to…

Q: 4. When creating confidence intervals from the sample mean, will the sample mean ever not exist with…

A: The confidence interval for the mean is a statistical tool that provides a range of values within…

Q: (b) Assume that the mean score for students taking traditional courses is 5.60. A college that…

A: The mean score for students taking traditional curses is 5.60.

Q: Increasing the sample mean would cause a confidence interval to (a) shift left (b) shift right (c)…

Q: 23. (Calculation Question) We are interested in the proportion of Kyung Hee students who own a…

A: 23. Given: From the Standard Normal Table, the value of z* for 95% level is 1.96. The 95%…

Q: How do we calculate the confidence intervals

A: Confidence interval is the interval that tells the range where the true value of proportion exist.…

Q: How will you explain a confidence interval and a hypothesis test to a businessperson who does not…

A: A confidence interval tell us the probability that estimated population parameter lie with in the…

Q: 13. In a study of speed dating, male subjects were asked to rate the attractiveness of their…

A: Note: Hey there! Thank you for the question. As you have posted several different questions, as per…

Q: What can we do to make a confidence interval narrower without changing the confidence level?

A: Confidence interval: A range of values such that the population parameter can expected to contain…

Q: The confidence interval was (22, 26) What was the point estimate? What was the margin of error?

A: Given confidence interval was (22, 26)

Q: What distribution is used to create a confidence interval for a population variance or standard…

A: We given that the statement about the confidence interval for a population variance or standard…

Q: What happens to the margin of error if you increase the confidence level?

A: We know that, Margin of error=zσn

Q: A Hollywood film producer is working on a new action film. She wants to estimate the true mean…

A: Confidence interval for mean gives the probabilit that the parameter lies between the two values…

Q: Relative risk is defined to be the ratio of success proportions between two groups. Suppose that a…

A: It is given asThe 95% confidence interval for relative risk is:CI = ( 1.32, 2.62 )

Q: Suppose a random sample of 50 basketball players showed the average height to be 78 inches. Also,…

A: From the provided information, Population standard deviation (σ) = 1.5 Sample mean (x̄) = 78 Sample…

Q: 7. In 2005 the New Jersey Adult Tobacco Survey found that 22.5% of 464 blacks surveyed said that…

Q: 6. True or False A 95% confidence interval means that there is a 95% probability that the interval…

A: 6. The 95% confidence interval means that there is a 95% confident that the interval would include…

Q: In what are we confident after we’ve calculated a 95% confidence interval – the value of that…

A: still wrong. The 95% is not for the construction of the interval, but for the method of constructing…

Q: Is the margin of error for a confidence interval for a population equivalent to the standard…

A: The margin of error for a confidence interval when population standard deviation is known, The…

Q: Pew Research conducted a survey back in March of 2021 that explored the topic of discrimination…

Q: A researcher wanted to check whether the percentage of Canadian adults with obesity has decreased in…

Q: poll surveyed 1024 people about global warming. Of those surveyed, 389 said that they thought global…

A: a. The point estimate (sample proportion for this case is the proportion of people who thought…

Q: If a sample has has a 94% confidence interval of (4.68,5.43), what is the 2-decimal margin of error?

A: Given information- We have given the confidence interval is- C.I = (4.68, 5.43) Lower limit = 4.68…

Q: Note that when the population variance is 20, the population standard deviation is 4.47. So the…

A: Determination of sample size for estimation of mean.

Q: when does an inferential statistics problem involve either a confidence interval estimate or a…

A: Hypothesis test- It is used to test the hypothesized population mean with respect to the sample…

Q: how you recognize when an inferential statistics problem involves either a confidence interval…

Q: 7. A recent survey of 500 women indicated that 29% of women over age 55 in the study were widows.…

A: Givensample size(n)=500p^=29%=0.29confidence level=90%

Q: n 2005, Health Canada claimed that 16.3% of Canadian adults are obese. A researcher wanted to check…

A: Given, The sample proportion is,

Q: How can someone recognize when an inferential statistics problem involves either a confidence…

A: Confidence interval is used to find the true value of the estimate of population parameter by using…

Q: 24. The CDC took a random sample of 530 people that lived near high-voltage towers. Of these people,…

Q: Describe the circumstances under which a confidence interval and hypothesis test yield the same…

A: Explanation to 1 (Matching Significance Level and Confidence Level)To obtain a similar result, the…

Q: What is the correct answer? The change in confidence level (increase, decrease, does not change,…

A: We want to tell you which one is the correct choice

Q: 6. In a survey of 2563 adults from France, 1666 said that they believed that the activities of…

A: Solution:Here, p be the true population proportion of adults in France who thinks humans are…

Topic Video

Question

7. Why is a confidence interval also called a "margin of error"?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

how to rewrit the confidence interval 43 + or - 4 in interval form
10. Use the given confidence interval to find the margin of error and the sample mean. (15.0,22.4) The sample mean is The margin of error is (Type an integer or a decimal.) . (Type an integer or a decimal.)
If the confidence level is increased, the margin of error decreases. True or False
9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.
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?
You are trying to study the level of personal net worth of a low income populaon. In parcular you are interested in find the confidence interval of the mean level of net worth (net worth can be posive or negave and is measured in thousands of dollars). You do not know the distribuon of the level of net worth of the populaon. For your study, you collected a sample from 100 persons asking them their level of net worth. The results were such that the sample meanXˉ = 3 and the sample variance Sn2 = 100 (Assume you choose the persons randomly, they report their true net worth, and the populaon is sufficiently large.) From this data, find the 90% confidence interval of the mean level of net worth.(Do not use t distribuon)
Please help with A and B
23) It is found that a 95% confidence interval for the mean score of all students on an aptitude test is (62, 70). It means that there is a 95% chance that the mean score of all students on an aptitude test is between 62 and 70. False True
What happens to the interval width as confidence level increases? Why?
Why is it that when we increase our confidence level in a confidence interval that the interval gets wider?
cutive pusu 8. A survey will be conducted on the use of social media among senior high school students. a. How large a sample must be obtained if the researchers want to be 95% confident that the maximum error will not exceed 5%? b. Suppose the researchers conducted the survey involving 500 senior high school students and 400 responded that they have social media accounts. Give the 99% confidence interval for the true proportion of senior high school students who have social media accounts.
17. Confidence interval is for population parameter and prediction interval is for a variable . Select one: True of false