Math Problem Statement
You wish to test the following claim (𝐻𝑎) at a significance level of 𝛼=0.05. 𝐻𝑜:𝑝1=𝑝2 𝐻𝑎:𝑝1≠𝑝2
The 1st population's sample has 539 successes and a sample size = 754. The 2nd population's sample has 483 successes and a sample size = 596. What is the test statistic (z-score) for this sample? (Round to 3 decimal places.) test statistic =
What is the p-value for this sample? (Round to 3 decimal places.) p-value =
The p-value is...
less than (or equal to) 𝛼
greater than 𝛼
This test statistic leads to a decision to...
do not reject the null
accept the null
reject the null
As such, the final conclusion is that...
There is not sufficient sample evidence to support the alternate hypothesis claim that p1 is not equal to p2.
The sample data support the alternate hypothesis claim that p1 is not equal to p2.
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Proportions
Z-score
Formulas
Pooled Proportion formula
Test Statistic formula
P-value calculation
Theorems
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Suitable Grade Level
Advanced High School or College
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