Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people who live within one mile from a hazardous waste site. If 95% confidence intervals were calculated for a scenario where p=0.3 and another scenario where p=0.7, how would the two confidence intervals compare? Since the sample proportion in the first scenario is smaller, its confidence interval would be wider. b. Since the sample proportion in the second scenario is larger, its confidence interval would be а. shifted to the left and narrower than the one calculated from the first scenario. с. Since the sample proportion in the first scenario is smaller, its confidence interval would be narrower. d. Even though the sample proportions are different, the widths of the confidence intervals would be equal. е. This cannot be determined from the information given.

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

payatas

Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people
who live within one mile from a hazardous waste site. If 95% confidence intervals were calculated for a
scenario where p=0.3 and another scenario where p=0.7, how would the two confidence intervals
compare?
a. Since the sample proportion in the first scenario is smaller, its confidence interval would be wider.
b. Since the sample proportion in the second scenario is larger, its confidence interval would be
shifted to the left and narrower than the one calculated from the first scenario.
C.
Since the sample proportion in the first scenario is smaller, its confidence interval would be
narrower.
d. Even though the sample proportions are different, the widths of the confidence intervals would
be equal.
e. This cannot be determined from the information given.
Transcribed Image Text:Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people who live within one mile from a hazardous waste site. If 95% confidence intervals were calculated for a scenario where p=0.3 and another scenario where p=0.7, how would the two confidence intervals compare? a. Since the sample proportion in the first scenario is smaller, its confidence interval would be wider. b. Since the sample proportion in the second scenario is larger, its confidence interval would be shifted to the left and narrower than the one calculated from the first scenario. C. Since the sample proportion in the first scenario is smaller, its confidence interval would be narrower. d. Even though the sample proportions are different, the widths of the confidence intervals would be equal. e. This cannot be determined from the information given.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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