Homework Help is Here – Start Your Trial Now!
Math
Statistics
A poll showed that when a sample of people in a certain country were asked whether they were thriving, struggling., or suffering, about 47% said they were thriving. Complete parts (a) through (h) below. a. Assuming the sample size was 800, how many in the sample said they were thriving? Assuming the sample size was 800,Oin the sample said they were thriving. (Round to the nearest integer as needed.) b. Is the sample size large enough to apply the Central Limit Theorem? Explain. Assume the other conditions are met. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest integer as needed.) O A. Yes, the sample size is large enough, since the expected number of successes is and the expected number of failures is , both of which are greater than or equal to 10. OB. Yes, the sample size is large enough, since the estimated standard error is. which is greater than or equal to 10. O C. No, the sample size is not large enough, since the expected number of successes is and the expected number of failures is at least one of which is less than 10. OD. No, the sample size is not large enough, since the estimated standard error is. which is less than 10.

A poll showed that when a sample of people in a certain country were asked whether they were thriving, struggling., or suffering, about 47% said they were thriving. Complete parts (a) through (h) below. a. Assuming the sample size was 800, how many in the sample said they were thriving? Assuming the sample size was 800,Oin the sample said they were thriving. (Round to the nearest integer as needed.) b. Is the sample size large enough to apply the Central Limit Theorem? Explain. Assume the other conditions are met. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest integer as needed.) O A. Yes, the sample size is large enough, since the expected number of successes is and the expected number of failures is , both of which are greater than or equal to 10. OB. Yes, the sample size is large enough, since the estimated standard error is. which is greater than or equal to 10. O C. No, the sample size is not large enough, since the expected number of successes is and the expected number of failures is at least one of which is less than 10. OD. No, the sample size is not large enough, since the estimated standard error is. which is less than 10.

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
100%
Practice Pack

help please.

h. When the sample size is multiplied by 4 (as it was here, going from 800 to 3200), is the interval width decreased by a factor of 4? In other words, is the interval for the larger sample size one-fourth (1/4) of the interval for the smaller sample size? If not, what is it divided by? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - ⭕ A. No, when the sample size is multiplied by 4, the interval width is divided by ⬜. (Round to the nearest integer as needed.) - ⭕ B. Yes, when the sample size is multiplied by 4, the interval width decreased by a factor of 4.
Transcribed Image Text:h. When the sample size is multiplied by 4 (as it was here, going from 800 to 3200), is the interval width decreased by a factor of 4? In other words, is the interval for the larger sample size one-fourth (1/4) of the interval for the smaller sample size? If not, what is it divided by? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - ⭕ A. No, when the sample size is multiplied by 4, the interval width is divided by ⬜. (Round to the nearest integer as needed.) - ⭕ B. Yes, when the sample size is multiplied by 4, the interval width decreased by a factor of 4.
A poll showed that when a sample of people in a certain country were asked whether they were thriving, struggling, or suffering, about 47% said they were thriving. Complete parts (a) through (h) below. a. Assuming the sample size was 800, how many in the sample said they were thriving? (Round to the nearest integer as needed.) b. Is the sample size large enough to apply the Central Limit Theorem? Explain. Assume the other conditions are met. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest integer as needed.) - A. Yes, the sample size is large enough, since the expected number of successes is ____ and the expected number of failures is ____, both of which are greater than or equal to 10. - B. Yes, the sample size is large enough, since the estimated standard error is ____, which is greater than or equal to 10. - C. No, the sample size is not large enough, since the expected number of successes is ____ and the expected number of failures is ____, at least one of which is less than 10. - D. No, the sample size is not large enough, since the estimated standard error is ____, which is less than 10. c. Find a 95% confidence interval for the proportion that said they were thriving. The 95% confidence interval is (_____, ____). (Round to three decimal places as needed.) d. Find the width of the interval you found in part (c) by subtracting the lower limit from the upper limit. The width of the interval is ____. (Round to three decimal places as needed.) e. Now assume the sample size was 3200. How many would have said they were thriving? (Round to the nearest integer as needed.) Assuming the sample size was 3200, _____ would have said they were thriving. f. Find a 95% confidence interval for the proportion that said they were thriving using the numbers from part (e). The 95% confidence interval is (_____, ____). (Round to three decimal places as needed.) g. What is the width of the interval you found in part (f)? The width of the interval is ____. (Round to three decimal places as needed.)
Transcribed Image Text:A poll showed that when a sample of people in a certain country were asked whether they were thriving, struggling, or suffering, about 47% said they were thriving. Complete parts (a) through (h) below. a. Assuming the sample size was 800, how many in the sample said they were thriving? (Round to the nearest integer as needed.) b. Is the sample size large enough to apply the Central Limit Theorem? Explain. Assume the other conditions are met. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest integer as needed.) - A. Yes, the sample size is large enough, since the expected number of successes is ____ and the expected number of failures is ____, both of which are greater than or equal to 10. - B. Yes, the sample size is large enough, since the estimated standard error is ____, which is greater than or equal to 10. - C. No, the sample size is not large enough, since the expected number of successes is ____ and the expected number of failures is ____, at least one of which is less than 10. - D. No, the sample size is not large enough, since the estimated standard error is ____, which is less than 10. c. Find a 95% confidence interval for the proportion that said they were thriving. The 95% confidence interval is (_____, ____). (Round to three decimal places as needed.) d. Find the width of the interval you found in part (c) by subtracting the lower limit from the upper limit. The width of the interval is ____. (Round to three decimal places as needed.) e. Now assume the sample size was 3200. How many would have said they were thriving? (Round to the nearest integer as needed.) Assuming the sample size was 3200, _____ would have said they were thriving. f. Find a 95% confidence interval for the proportion that said they were thriving using the numbers from part (e). The 95% confidence interval is (_____, ____). (Round to three decimal places as needed.) g. What is the width of the interval you found in part (f)? The width of the interval is ____. (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

video

Learn your way

Includes step-by-step video

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Design Formulation
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.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
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