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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 2 age of 18

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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 2 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 Library B Successes 56 Successes 97 Observations 150 Observations 200 p-hat_1 0.373 p-hat_2 0.485 Confidence Level 95% p = EX: 1.234 z-score 2.091 p-value 0.0183 -3 -2 -1 0 2 3 Z = Ex: 1.234 Library A patrons: n1 = Ex: 9 Library B patrons: n2 = Sample proportion for library A patrons: P1 = Ex: 1.234 Sample proportion for library B patrons: p2 = 2

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