The necessary value for z Sample 1 Sample 2 n₁ = 400 n₂ = 300 P1 = 0.56 P₂ = 0.41 Substitute these values to first find the lower bound for the confidence interval, rounding the result to four decimal places. lower bound = P₁ P2-²a/2V P₂(1-P₂) 7₂ upper bound was determined to be 1.645. Recall the given information. a/2 = 0.56 0.41 0.0559 = = 0.56 0.41 02441 P₁(1-P₁) n1 + Substitute these values to find the upper bound for the confidence interval, rounding the result to four decimal places. P₂(1-P₂) P₁-P₂ + ²a/2√ P₁(1-P₁) + n₁ 7₂ X 1.645, 0.56(1 0.56) 0.41(10.41) 300 +1.645. 400 + 0.56(10.56) 0.41(10.41) 400 300 +

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
100%
upper bound = P₁ P₂
+Z
= 0.56 0.41
02441
a/2
P₁(1-P₁) P₂(1-P₂)
01
7₂
+
Submit Skin (you cannot como bal
+1.645,
0.56(1-0.56)
400
+
Ing the result to four decimal places.
X
Therefore, a 90% confidence interval for the difference in the population proportions (rounding to four decimal places) is from a lower
bound of 0.0559
X to an upper bound of 0.2441
0.41(10.41)
300
Transcribed Image Text:upper bound = P₁ P₂ +Z = 0.56 0.41 02441 a/2 P₁(1-P₁) P₂(1-P₂) 01 7₂ + Submit Skin (you cannot como bal +1.645, 0.56(1-0.56) 400 + Ing the result to four decimal places. X Therefore, a 90% confidence interval for the difference in the population proportions (rounding to four decimal places) is from a lower bound of 0.0559 X to an upper bound of 0.2441 0.41(10.41) 300
Step 3
The necessary value for Za/2 was determined to be 1.645. Recall the given information.
Sample 1
n1 = 400
P1 = 0.56
P2 = 0.41
Substitute these values to first find the lower bound for the confidence interval, rounding the result to four decimal places.
P₁(1-P₁) P₂(1-P₂)
1
72
lower bound =
P₁-P₂-²a/2
= 0.560.41
Sample 2
n2 = 300
= 0.0559
=
0.56 0.41
= 02441
X
Substitute these values to find the upper bound for the confidence interval, rounding the result to four decimal places.
P₁(1-P₁) P₂(1-P₂)
upper bound = P₁ P₂ + ²a/2√
n1
n2
X
+
✔
- 1.645,
+
0.56(1 0.56) 0.41(10.41)
300
+1.645.
400
0.56(1 0.56)
+
400
+
0.41(1 0.41)
300
Transcribed Image Text:Step 3 The necessary value for Za/2 was determined to be 1.645. Recall the given information. Sample 1 n1 = 400 P1 = 0.56 P2 = 0.41 Substitute these values to first find the lower bound for the confidence interval, rounding the result to four decimal places. P₁(1-P₁) P₂(1-P₂) 1 72 lower bound = P₁-P₂-²a/2 = 0.560.41 Sample 2 n2 = 300 = 0.0559 = 0.56 0.41 = 02441 X Substitute these values to find the upper bound for the confidence interval, rounding the result to four decimal places. P₁(1-P₁) P₂(1-P₂) upper bound = P₁ P₂ + ²a/2√ n1 n2 X + ✔ - 1.645, + 0.56(1 0.56) 0.41(10.41) 300 +1.645. 400 0.56(1 0.56) + 400 + 0.41(1 0.41) 300
Expert Solution
steps

Step by step

Solved in 3 steps

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