Using this data, make assumptions (large sample)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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Question
Using this data, make assumptions (large sample)
![Comparing Two Population Proportions
Evidence
Size
#Successes 20
Proportion 0.417
Hypothesis Testing
Hypothesized Difference Zero
Pooled p-hat 0.5000
Test Statistic -1.6330 Z
Null Hypothesis
Ho: P₁-P₂ = 0
Ho: P₁-P₂ >= 0
Ho: P₁-P₂ <= 0
Hypothesized Difference Nonzero
Sample 1 Sample 2
48
48
28
0.583
Test Statistic -2.6499
Null Hypothesis
Ho: P₁ P₂ = 0.1
Ho: P₁ P2 = 0.1
Ho: P₁ P₂ <= 0.1
p-value
0.1025
0.0512
0.9488
Z
p-value
0.0081
0.0040
0.9960
n
X
p-hat
At an a of
5%
су
1.96
-1.64
1.64
At an a of
5%
Reject
Reject
Confidence Interval
1 – α
90%
Assumption
Large Samples
Confidence Interval
-0.1667 ± 0.1655
-0.3322
= [ 0.0000, -0.0011 ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1be69727-9598-47bc-abd3-25ac2b9a4845%2F5563f5d6-ff8a-4062-ba42-13c98e472259%2Fn7w9b1h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Comparing Two Population Proportions
Evidence
Size
#Successes 20
Proportion 0.417
Hypothesis Testing
Hypothesized Difference Zero
Pooled p-hat 0.5000
Test Statistic -1.6330 Z
Null Hypothesis
Ho: P₁-P₂ = 0
Ho: P₁-P₂ >= 0
Ho: P₁-P₂ <= 0
Hypothesized Difference Nonzero
Sample 1 Sample 2
48
48
28
0.583
Test Statistic -2.6499
Null Hypothesis
Ho: P₁ P₂ = 0.1
Ho: P₁ P2 = 0.1
Ho: P₁ P₂ <= 0.1
p-value
0.1025
0.0512
0.9488
Z
p-value
0.0081
0.0040
0.9960
n
X
p-hat
At an a of
5%
су
1.96
-1.64
1.64
At an a of
5%
Reject
Reject
Confidence Interval
1 – α
90%
Assumption
Large Samples
Confidence Interval
-0.1667 ± 0.1655
-0.3322
= [ 0.0000, -0.0011 ]
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