You wish to test the following claim (Hå) at a significance level of a = 0.05. Ho: P₁ = P2 Ha: P₁ P2 You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain 48.6% successes in a sample of size n₂ = 276 from the second population. 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... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population proportion is greater than the second population proportion. There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.
You wish to test the following claim (Hå) at a significance level of a = 0.05. Ho: P₁ = P2 Ha: P₁ P2 You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain 48.6% successes in a sample of size n₂ = 276 from the second population. 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... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population proportion is greater than the second population proportion. There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:You wish to test the following claim (H₁) at a significance level of a = 0.05.
Ho: P₁ = P2
Ha:P₁ > P2
You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain
48.6% successes in a sample of size n₂ = 276 from the second population. 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
O greater than a
This test statistic leads to a decision to...
reject the null hypothesis
accept the null hypothesis
O fail to reject the null hypothesis
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population
proportion is greater than the second population proportion.
There is not sufficient evidence to warrant rejection of the claim that the first population
proportion is greater than the second population proportion.
O The sample data support the claim that the first population proportion is greater than the
second population proportion.
O There is not sufficient sample evidence to support the claim that the first population
proportion is greater than the second population proportion.
Transcribed Image Text:You wish to test the following claim (H₁) at a significance level of a = 0.05.
Ho: P₁ = P2
Ha:P₁ > P2
You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain
48.6% successes in a sample of size n₂ = 276 from the second population. 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
O greater than a
This test statistic leads to a decision to...
reject the null hypothesis
accept the null hypothesis
O fail to reject the null hypothesis
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population
proportion is greater than the second population proportion.
There is not sufficient evidence to warrant rejection of the claim that the first population
proportion is greater than the second population proportion.
O The sample data support the claim that the first population proportion is greater than the
second population proportion.
O There is not sufficient sample evidence to support the claim that the first population
proportion is greater than the second population proportion.
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