You wish to test the following claim (H) at a significance level of a = 0.002. Ho: P1 = P2 H₁: P1 P2 You obtain a sample from the first population with 485 successes and 84 failures. You obtain a sample from the second population with 459 successes and 99 failures. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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.... reject the null accept the null fail to 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.

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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You wish to test the following claim (H) at a significance level of a = 0.002.
Ho: P1 = P2
H₁: P1 P2
You obtain a sample from the first population with 485 successes and 84 failures. You obtain a sample from the
second population with 459 successes and 99 failures. For this test, you should NOT use the continuity
correction, and you should use the normal distribution as an approximation for the binomial distribution.
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....
reject the null
accept the null
fail to 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.
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.002. Ho: P1 = P2 H₁: P1 P2 You obtain a sample from the first population with 485 successes and 84 failures. You obtain a sample from the second population with 459 successes and 99 failures. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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.... reject the null accept the null fail to 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.
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