Using this data, make assumptions (large sample)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 ]
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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