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 41 Successes 68

Observations 100 Observations 150

Proportion 0.410 Proportion 0.453

Confidence Level 95%

z-score 0.6717

p-value 0.2514

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=