A city council is trying to determine if library B, with extended hours, has a higher proportion of patrons under the age of 18 than library A, which closes at 6:00 pm. A random sample of patrons from both libraries are checked. The results of the data collected are shown below. Library A Successes Observations Proportion Confidence level Z-score p-value Library B 41 Successes 100 Observations 0.410 Proportion 95% 0.6717 0.2514 68 150 0.453 Library A patrons: nA = Ex: 9 Library B patrons: nB = Sample proportion for library A patrons: A = Ex: 1.234 Sample proportion for library B patrons: Â Â -3 -2 -1 0 1 p= Ex: 1.234 2 3 z = Ex: 1.234

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

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A city council is trying to determine if library B, with extended hours, has a higher proportion of patrons under the
age of 18 than library A, which closes at 6:00 pm. A random sample of patrons from both libraries are checked.
The results of the data collected are shown below.
Library A
Successes
Observations
Proportion
Confidence level
Z-Score
p-value
41 Successes
100 Observations
Library B
0.410 Proportion
95%
0.6717
0.2514
=
Library A patrons: nA
Library B patrons: no
Sample proportion for library A patrons: A = Ex: 1.234
Sample proportion for library B patrons: PB =
68
150
0.453
Ex: 9
-3
-2
0
P= Ex: 1.234
1
z = Ex: 1.234
2
3
Transcribed Image Text:A city council is trying to determine if library B, with extended hours, has a higher proportion of patrons under the age of 18 than library A, which closes at 6:00 pm. A random sample of patrons from both libraries are checked. The results of the data collected are shown below. Library A Successes Observations Proportion Confidence level Z-Score p-value 41 Successes 100 Observations Library B 0.410 Proportion 95% 0.6717 0.2514 = Library A patrons: nA Library B patrons: no Sample proportion for library A patrons: A = Ex: 1.234 Sample proportion for library B patrons: PB = 68 150 0.453 Ex: 9 -3 -2 0 P= Ex: 1.234 1 z = Ex: 1.234 2 3
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