Math Problem Statement
You wish to test the following claim (ha) at a significance level of o=0.01 ho:p1=p2 ha:p1=p2
You obtain a sample from the first population with 399 successes and 75 failures. You obtain a sample from the second population with 204 successes and 59 failures.
What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
The p-value is... less than (or equal to) greater than
This test statistic leads to a decision to... reject the null accept the null do not reject the null
As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data support the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Proportions
Normal Distribution
Formulas
Z-test formula for comparing proportions
Theorems
Central Limit Theorem
Suitable Grade Level
Advanced Undergraduate
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