The image contains a statistical problem set regarding a survey of 2009 American adults, in which 29% said they believed in astrology. The exercise is structured into two parts:**(a)** Participants are asked to calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. The answers need to be rounded to three decimal places. There is a space to input the lower and upper bounds of the confidence interval, represented as two blank fields within parentheses.Below this calculation, there are multiple-choice options to interpret the resulting interval:1. We are 99% confident that this interval contains the true population mean.2. We are 99% confident that this interval does not contain the true population mean.3. We are 99% confident that the true population mean lies below this interval.4. We are 99% confident that the true population mean lies above this interval.Option 1 is marked as the correct interpretation.**(b)** This section asks for the sample size required for the width of a 99% confidence interval (CI) to be at most 0.05, regardless of the value of the sample proportion ($ \hat{p} $). The result provided is 2121.593, and there is an indication that this answer is incorrect, marked by a red cross.This exercise helps learners practice calculating and interpreting confidence intervals and understanding the relationship between sample size and interval width.

The formula for the confidence interval for the proportion is,

Answered: A certain forum reported that in a…

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

Similar questions

The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% confidence interval to 2%, about how many Americans would we need to survey? (Round your answer up to the nearest whole number.) Americans
Suppose you calculate a 95% and 90% confidence interval for the true proportion of college students with student loan using the same data set. Which of the following must be true? a) The 95% confidence interval is wider than the 90% confidence interval. b) The 95% confidence interval is the same length as the 90% confidence interval. c) The 95% confidence interval is narrower than the 90% confidence interval. d) There is no way to tell from the given information.
In a survey of 2343 adults, 700 say they believe in UFOs. Construct a 90%confidence interval for the population proportion of adults who believe in UFOs. Part 1 A 90% confidence interval for the population proportion is ( __, __ ) Interpret your results. Choose the correct answer below. A. The endpoints of the given confidence interval shows that 90% of adults believe in UFOs. B. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. C. With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. D. With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
State how you would respond to the following student posts in a discussion on how to interpret a 95% confidence interval for a population mean. One student posted their interpretation as “There is a 95% chance that this population mean will fall inside the confidence interval.” Another student responded to this post with “I don’t think that your interpretation is correct. The population mean is a fixed value. There is no chance involved. The population mean either falls inside the confidence interval or it does not.”
Suppose you find that the 95% confidence interval for the cost of a wedding is ($29,000, $35,000). What is the correct interpretation of this interval? Group of answer choices For the next wedding you attend, the cost will be between $29,000 and $35,000. There is a 95% probability that the sample mean is between $29,000 and $35,000. There is a 95% probability that the population mean is between $29,000 and $35,000. You are 95% confident that the mean wedding cost is between $29,000 and $35,000. thanks
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)
What is the correct interpretation for a 95% confidence interval of the population mean μ? The probability that the population mean is in the interval is 5%. In the long run, 95% of the intervals created will contain the population mean. There is a 5% chance that the sample mean will be in the interval. 95% of the population has a value in the confidence interval.
You create a 95% confidence interval for the proportion of a population. The confidence interval does not contain 0.10. This means that Group of answer choices a.You have evidence to conclude that the population proportion is equal to 0.10. b.You do not have evidence to conclude that the population proportion is equal to 0.10. c.You have evidence to conclude that the population proportion is not equal to 0.10. d.You do not have evidence to conclude that the population proportion is not equal to 0.10. e.The answer cannot be determined with the information given.
Question 82 parts A, B, and C
Which is true about a 95% confidence interval for a population proportion based on a given sample? A There is a 95% chance that the true sample proportion is in the middle of our interval. There is a 5% chance that our Interval does not contain the population proportion. C The Interval Is wider than a 90% confidence Interval would be. none of these is true.
Question 17: determine which is the 95% confidence interval and which is the 99% confidence interval. (60,120) (75,100)
Explain what "98% confidence" means in a 98% confidence interval. What does "98% confidence" mean in a 98% confidence interval? CHU OA. If 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect 98 of the intervals to include the parameter and 2 to not include the parameter. OB. The confidence interval includes 98% of all possible values for the parameter OC. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 98%. The probability that it does not is 2% OD. The value of the parameter lies within 98% of a standard deviation of the estimate.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS