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 56 Successes 150 Observations 0.373 Proportion 95% 2.091 0.0183 97 200 0.485 Library A patrons: nA = Library B patrons: nB = Sample proportion for library A patrons: PA Ex: 9 A -3 -2 -1 0 - Ex: 1.234 Sample proportion for library B patrons: B = p=Ex: 1.234 1 2 3 z = Ex: 1.234

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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
56 Successes
150 Observations
Library B
0.373 Proportion
95%
2.091
0.0183
Library A patrons: nA = Ex: 9
Library B patrons: no
=
97
200
0.485
-
Sample proportion for library A patrons: A
=
Sample proportion for library B patrons: B
1
Ex: 1.234
-3
-2 -1
0
P= Ex: 1.234
2
2 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 56 Successes 150 Observations Library B 0.373 Proportion 95% 2.091 0.0183 Library A patrons: nA = Ex: 9 Library B patrons: no = 97 200 0.485 - Sample proportion for library A patrons: A = Sample proportion for library B patrons: B 1 Ex: 1.234 -3 -2 -1 0 P= Ex: 1.234 2 2 Ex: 1.234 2 3
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