You wish to test the following claim (H₂) at a significance level of a = 0.001. H₂: P₁ = P₂ H₂: Pi #P₂ You obtain 61.9% successes in a sample of size n₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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You wish to test the following claim (H) at a significance level of a = 0.001.
H₂: P₁ = P2
Ha: P₁ P2
You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1%
successes in a sample of size n₂ = 531 from the second population.
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) a
greater than a
This test statistic leads to a decision to...
O reject the null
accept the null
O fail to reject the null
As such, the final conclusion is that...
O 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.
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.001. H₂: P₁ = P2 Ha: P₁ P2 You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population. 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) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O 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.
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