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
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
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
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