necessary value for z/2 was determined to be 1.645. Recall the given information. Sample 1 Sample 2 = 400 n2 = 300 Pz = 0.56 P2 = 0.39 titute these values to first find the lower bound for the confidence interval, rounding the result to four decimal places. - bound = P1 - P2 - Za/2 \ P1(1 - P1) , P2(1 - 2) n2 - 1.645 0.56(1 – 0.56) 400 0.39(1 – 0.39) = 0.56 - 0.39 300 titute these values to find the upper bound for the confidence interval, rounding the result to four decimal places. P1(1 - P1) , P2(1 - P2) er bound = P1 - P2 + Za/2V n1 n2

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
The necessary value for z2 was determined to be 1.645. Recall the given information.
Sample 1
Sample 2
n1
= 400
n2
= 300
P1
= 0.56
P2
= 0,39
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)
lower bound =
P1
P2 - Za/2V
+
n1
n2
0.56(1 – 0.56)
0.39(1 – 0.39)
= 0.56 – 0.39
- 1.645
+
400
300
=
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 + Za/2\V
n1
n2
0.56(1 – 0.56)
0.39(1 – 0.39)
+
= 0.56 – 0.39
+ 1.645
400
300
Therefore, a 90% confidence interval for the difference in the population proportions (rounding to four decimal places) is from a lower bound of
to an upper bound of O
Enter a number.
Transcribed Image Text:The necessary value for z2 was determined to be 1.645. Recall the given information. Sample 1 Sample 2 n1 = 400 n2 = 300 P1 = 0.56 P2 = 0,39 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) lower bound = P1 P2 - Za/2V + n1 n2 0.56(1 – 0.56) 0.39(1 – 0.39) = 0.56 – 0.39 - 1.645 + 400 300 = 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 + Za/2\V n1 n2 0.56(1 – 0.56) 0.39(1 – 0.39) + = 0.56 – 0.39 + 1.645 400 300 Therefore, a 90% confidence interval for the difference in the population proportions (rounding to four decimal places) is from a lower bound of to an upper bound of O Enter a number.
Expert Solution
Step 1

Given data,

Statistics homework question answer, step 1, image 1

Zc=1.645

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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