Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 1900 people with 1386 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P₂ (with a 0.01 significance level) and a 99% confidence interval estimate of P₁-P2-
Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 1900 people with 1386 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P₂ (with a 0.01 significance level) and a 99% confidence interval estimate of P₁-P2-
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
171
Transcribed Image Text:Two different simple random samples are drawn from two
different populations. The first sample consists of 20
people with 11 having a common attribute. The second
sample consists of 1900 people with 1386 of them
having the same common attribute. Compare the results
from a hypothesis test of p₁ = P₂ (with a 0.01
significance level) and a 99% confidence interval
estimate of P₁-P2-
Transcribed Image Text:Identify the test statistic.
- 3.02
(Round to two decimal places as needed.)
Identify the critical value(s).
- 1.960,1.960
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
The test statistic is in the critical region, so reject the null hypothesis. There is sufficient evidence to conclude that
P₁ #P₂.
The 95% confidence interval is -0.431 < (P₁-P2) < -0.071.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
reject the null hypothesis.
Since 0 is not included in the interval, it indicates to
How do the results from the hypothesis test and the confidence interval compare?
The results are
since the hypothesis test suggests that p₁
P₂, and the confidence interval suggests that p₁
P₂-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman