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 is checked. The results of the data collected are shown below.

Library A Library B

Successes 56 Successes 97

Observations 150 Observations 200

Proportion 0.373 Proportion 0.485

Confidence Level 95%

z-score 2.091

p-value 0.0183

Library A patrons: nA=

Sample proportion for library A patrons: p^A=

Library B patrons: nB=

p=

Sample proportion for library B patrons: p^B=

z=