In preparing a report on the economy, we need to estimate the percentage of businesses that plan to hire additional employees in the next 60 days. a) How many randomly selected employers must we contact in order to create an estimate in which we are 99% confident with a margin of error of 7%? b) Suppose we want to reduce the margin of error to 5%. What sample size will suffice? c) Why might it not be worth the effort to try to get an interval with a margin of error of 1%? a) A sample size of is needed. (Round up to the nearest whole number.) b) A sample size of is needed. (Round up to the nearest whole number.) c) Choose the correct answer below. OA. When the sum of the confidence level and the margin of error is less than or equal to 100%, the actual confidence level is reduced. B. With a very small margin of error, the sample may not be representative of the population. C. It is not possible to get a margin of error that small without measuring the whole population. OD. The sample size becomes very large, and it is probably not worth the effort. OE. It is worth the effort because reducing the margin of error is always useful. M PM

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
Question
In preparing a report on the economy, we need to estimate the percentage of businesses that plan to hire additional employees in the next 60 days.
a) How many randomly selected employers must we contact in order to create an estimate in which we are 99% confident with a margin of error of 7%?
b) Suppose we want to reduce the margin of error to 5%. What sample size will suffice?
c) Why might it not be worth the effort to try to get an interval with a margin of error of 1%?
a) A sample size of is needed.
(Round up to the nearest whole number.)
b) A sample size of ☐ is needed.
(Round up to the nearest whole number.)
c) Choose the correct answer below.
A. When the sum of the confidence level and the margin of error is less than or equal to 100%, the actual confidence level is reduced.
OB. With a very small margin of error, the sample may not be representative of the population.
C. It is not possible to get a margin of error that small without measuring the whole population.
OD. The sample size becomes very large, and it is probably not worth the effort.
OE. It is worth the effort because reducing the margin of error is always useful.
M
PM
Transcribed Image Text:In preparing a report on the economy, we need to estimate the percentage of businesses that plan to hire additional employees in the next 60 days. a) How many randomly selected employers must we contact in order to create an estimate in which we are 99% confident with a margin of error of 7%? b) Suppose we want to reduce the margin of error to 5%. What sample size will suffice? c) Why might it not be worth the effort to try to get an interval with a margin of error of 1%? a) A sample size of is needed. (Round up to the nearest whole number.) b) A sample size of ☐ is needed. (Round up to the nearest whole number.) c) Choose the correct answer below. A. When the sum of the confidence level and the margin of error is less than or equal to 100%, the actual confidence level is reduced. OB. With a very small margin of error, the sample may not be representative of the population. C. It is not possible to get a margin of error that small without measuring the whole population. OD. The sample size becomes very large, and it is probably not worth the effort. OE. It is worth the effort because reducing the margin of error is always useful. M PM
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
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