Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 67% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. O Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401(k) accounts. The sample proportion is. (Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is. (Round to three decimal places as needed.) c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the company's workers have the same proportion of participants in the 401(k) accounts as does the rest of the nation. The probability is (Round to four decimal places as needed.) Data Table d. Does it appear that a larger proportion of company workers participate in 401(k) accounts than do the workers of the nation as a whole? Support your response. V because there is a % chance of obtaining a sample proportion greater than the one calculated in part a if the population proportion is 67%. (Round to the nearest percent as needed.) Yes Yes Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No No Yes Yes Yes No Yes No Yes No No Yes No Yes Yes Yes Yes

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
Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 67% of
eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d.
Click the icon to view the data table.
a. Determine the sample proportion of company workers who participate in 401(k) accounts.
The sample proportion is
(Round to three decimal places as needed.)
b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation.
The error is .
(Round to three decimal places as needed.)
c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the company's workers have the same proportion of participants in the 401(k) accounts as does the rest of the nation.
The probability is
(Round to four decimal places as needed.)
Data Table
d. Does it appear that a larger proportion of company workers participate in 401(k) accounts than do the workers of the nation as a whole? Support your response.
because there is a
% chance of obtaining a sample proportion greater than the one calculated in part a if the population proportion is 67%.
(Round to the nearest percent as needed.)
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No
No
No
Yes
No
Yes
Yes
Yes
Yes
Print
Done
Enter your answer in each of the answer boxes.
MacBook Pro
esc
888
@
#
2$
&
1
2
3
4
6
7
8
9
Q
W
E
R
T
Y
P
G
H
K
L
Transcribed Image Text:Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 67% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401(k) accounts. The sample proportion is (Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is . (Round to three decimal places as needed.) c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the company's workers have the same proportion of participants in the 401(k) accounts as does the rest of the nation. The probability is (Round to four decimal places as needed.) Data Table d. Does it appear that a larger proportion of company workers participate in 401(k) accounts than do the workers of the nation as a whole? Support your response. because there is a % chance of obtaining a sample proportion greater than the one calculated in part a if the population proportion is 67%. (Round to the nearest percent as needed.) Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No Yes Yes Yes Yes Yes No Yes Yes Yes No No No Yes No Yes Yes Yes Yes Print Done Enter your answer in each of the answer boxes. MacBook Pro esc 888 @ # 2$ & 1 2 3 4 6 7 8 9 Q W E R T Y P G H K L
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
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
  • SEE MORE 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