A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. a) Find the margin of error for the poll taken this year if one wants 90% confidence in the estimate of the percentage of adults who are fans of the sport. ME = (Round to three decimal places as needed.) b) Explain what that margin of error means. O A. One is 90% confident that this sample proportion is within +ME of the true proportion of adults who are fans of the sport. O B. There is a 90% chance that the true proportion of adults who are fans of the sport is within + ME of this sample proportion. O C. In 90% of samples of adults, the proportion who are fans of the sport will be within +ME of the sample proportion. O D. One is 90% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller? Click to select your answer(s). MacBook Air 吕口 000 EA F11 E12 F3 F5 F6 F7 F8 F9 F10 %24 & 4 5 6 7 9 R Y U * CO

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% of a similar-size sample had reported being fans of the sport.
Complete parts a through e below.
a) Find the margin of error for the poll taken this year if one wants 90% confidence in the estimate of the percentage of adults who are fans of the sport.
ME =
(Round to three decimal places as needed.)
b) Explain what that margin of error means.
O A. One is 90% confident that this sample proportion is within + ME of the true proportion of adults who are fans of the sport.
O B. There is a 90% chance that the true proportion of adults who are fans of the sport is within + ME of this sample proportion.
O C. In 90% of samples of adults, the proportion who are fans of the sport will be within + ME of the sample proportion.
O D. One is 90% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion.
c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller?
?
Click to select your answer(s).
MacBook Air
吕口
000 EA
F7
F8
F9
F10
F11
E12
F3
F5
F6
%24
&
一
%23
4
5
7
8
9
{
R
Y
U
Transcribed Image Text:A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. a) Find the margin of error for the poll taken this year if one wants 90% confidence in the estimate of the percentage of adults who are fans of the sport. ME = (Round to three decimal places as needed.) b) Explain what that margin of error means. O A. One is 90% confident that this sample proportion is within + ME of the true proportion of adults who are fans of the sport. O B. There is a 90% chance that the true proportion of adults who are fans of the sport is within + ME of this sample proportion. O C. In 90% of samples of adults, the proportion who are fans of the sport will be within + ME of the sample proportion. O D. One is 90% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller? ? Click to select your answer(s). MacBook Air 吕口 000 EA F7 F8 F9 F10 F11 E12 F3 F5 F6 %24 & 一 %23 4 5 7 8 9 { R Y U
A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% of a similar-size sample had reported being fans of the sport.
Complete parts a through e below.
c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller?
O A. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be smaller.
O B. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be larger.
OC. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be larger.
O D. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be smaller.
d) Find the margin of error for the poll taken this year if one wants 99% confidence in the estimate of the percent of adults who are fans of the sport.
ME =
(Round to three decimal places as needed.)
e) In general, if all other aspects of the situation remain the same, will smaller margins of error produce greater or less confidence in the interval?
Click to select your answer(s).
MacBook Air
A00 F4
F12
F8
F9
F10
F11
F6
F7
&
一
7
8
9.
R
Y
U
P
Transcribed Image Text:A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller? O A. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be smaller. O B. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be larger. OC. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be larger. O D. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be smaller. d) Find the margin of error for the poll taken this year if one wants 99% confidence in the estimate of the percent of adults who are fans of the sport. ME = (Round to three decimal places as needed.) e) In general, if all other aspects of the situation remain the same, will smaller margins of error produce greater or less confidence in the interval? Click to select your answer(s). MacBook Air A00 F4 F12 F8 F9 F10 F11 F6 F7 & 一 7 8 9. R Y U P
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Propositional Calculus
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
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