You wish to test the following claim (H) at a significance level of a = 0.005. Ho:P₁ = P2 Ha:P₁ P2 You obtain 586 successes in a sample of size n₁ = 685 from the first population. You obtain 504 successes in a sample of size n2 = 541 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... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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You wish to test the following claim (Ha) at a significance level of a = 0.005.
Ho: P1 = P2
Ha: P₁ P2
You obtain 586 successes in a sample of size n₁ = 685 from the first population. You obtain 504
successes in a sample of size n2 = 541 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...
O less than (or equal to) a
Ogreater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: P1 = P2 Ha: P₁ P2 You obtain 586 successes in a sample of size n₁ = 685 from the first population. You obtain 504 successes in a sample of size n2 = 541 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... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null O 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 less than the second population proportion.
O There is not sufficient evidence to warrant rejection of the claim that the first population
proportion is less than the second population proportion.
O The sample data support the claim that the first population proportion is less than the second
population proportion.
O There is not sufficient sample evidence to support the claim that the first population
proportion is less than the second population proportion.
Transcribed Image Text:As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. O The sample data support the claim that the first population proportion is less than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.
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