Hypothesis test for the difference between two population proportions Jump to level 1 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 Library B Successes 56 Successes Observations 150 Observations 97 200 0.485 p-hat_1 0.373 p-hat_2 Confidence Level 95% P= Ex: 1.234 z-score 2.091 p-value 0.0183 -2 -1 1 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 = Chank -3 0
Hypothesis test for the difference between two population proportions Jump to level 1 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 Library B Successes 56 Successes Observations 150 Observations 97 200 0.485 p-hat_1 0.373 p-hat_2 Confidence Level 95% P= Ex: 1.234 z-score 2.091 p-value 0.0183 -2 -1 1 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 = Chank -3 0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
![y library > MAT 240: Applied Statistics home >
EzyBooks catalog ?
2: Hypothesis test for the difference between two population proportions
Jump to level 1
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
Library B
Successes
56 Successes
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
-1
3
z = Ex: 1.234
Library A patrons: n₁ = Ex: 9
21
Library B patrons: n₂ =
Sample proportion for library A patrons: 2₁ =
1
Ex
Ex: 1.234
1:234
Sample proportion for library B patrons: P₂ =
1
0
4
T
10
N
200
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27d96fb9-96d5-477b-b416-22e1c389b55a%2F96cc8f51-4ca4-4ea2-ad18-46e3fa806c73%2Fyd6d24_processed.jpeg&w=3840&q=75)
Transcribed Image Text:y library > MAT 240: Applied Statistics home >
EzyBooks catalog ?
2: Hypothesis test for the difference between two population proportions
Jump to level 1
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
Library B
Successes
56 Successes
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
-1
3
z = Ex: 1.234
Library A patrons: n₁ = Ex: 9
21
Library B patrons: n₂ =
Sample proportion for library A patrons: 2₁ =
1
Ex
Ex: 1.234
1:234
Sample proportion for library B patrons: P₂ =
1
0
4
T
10
N
200
10
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