You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:P1 = P2 Ha:P1 < P2 You obtain a random sample of size 476 from the first population, with 344 successes. You obtain a random sample of size 398 from the second population, with 331 successes. What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to 3 decimal places.) p-value = The p-value is... less than 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... Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is less than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:P1 = P2 Ha:P1 < P2 You obtain a random sample of size 476 from the first population, with 344 successes. You obtain a random sample of size 398 from the second population, with 331 successes. What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to 3 decimal places.) p-value = The p-value is... less than 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... Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is less than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less 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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![### Hypothesis Testing at Significance Level \( \alpha = 0.02 \)
#### Statement of the Hypothesis
You wish to test the following claim \( (H_a) \) at a significance level of \( \alpha = 0.02 \):
- \( H_0 \): \( p_1 = p_2 \)
- \( H_a \): \( p_1 < p_2 \)
#### Sample Information
You obtain a random sample of size 476 from the first population, with 344 successes. You obtain a random sample of size 398 from the second population, with 331 successes.
#### Determining Test Statistic
What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)
\[ \text{test statistic =} \quad \underline{\hspace{5cm}} \]
#### Determining P-value
What is the p-value for this sample? (Report answer accurate to 3 decimal places.)
\[ \text{p-value =} \quad \underline{\hspace{5cm}} \]
#### Evaluating P-value
The p-value is...
- \( \circ \) less than \( \alpha \)
- \( \circ \) greater than \( \alpha \)
#### Making the Decision
This test statistic leads to a decision to...
- \( \circ \) reject the null
- \( \circ \) accept the null
- \( \circ \) fail to reject the null
#### Final Conclusion
As such, the final conclusion is that...
- \( \circ \) Because our p-value is less than alpha, we fail to reject the \( H_0 \). There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.
- \( \circ \) Because our p-value is greater than alpha, we reject the \( H_0 \). There is enough evidence to support the claim that the first population proportion is less than the second population proportion.
- \( \circ \) Because our p-value is less than alpha, we reject the \( H_0 \). There is enough evidence to support the claim that the first population proportion is less than the second population proportion.
- \( \circ \) Because our p-value is greater than alpha, we fail to reject the \( H_0 \). There is not enough evidence to support the claim that the first population proportion is less](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa218d9b0-33cd-49fb-8966-615774819802%2F8cd68305-2a12-4227-961b-fcf1e4d79ea3%2Fx5yifcp_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing at Significance Level \( \alpha = 0.02 \)
#### Statement of the Hypothesis
You wish to test the following claim \( (H_a) \) at a significance level of \( \alpha = 0.02 \):
- \( H_0 \): \( p_1 = p_2 \)
- \( H_a \): \( p_1 < p_2 \)
#### Sample Information
You obtain a random sample of size 476 from the first population, with 344 successes. You obtain a random sample of size 398 from the second population, with 331 successes.
#### Determining Test Statistic
What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)
\[ \text{test statistic =} \quad \underline{\hspace{5cm}} \]
#### Determining P-value
What is the p-value for this sample? (Report answer accurate to 3 decimal places.)
\[ \text{p-value =} \quad \underline{\hspace{5cm}} \]
#### Evaluating P-value
The p-value is...
- \( \circ \) less than \( \alpha \)
- \( \circ \) greater than \( \alpha \)
#### Making the Decision
This test statistic leads to a decision to...
- \( \circ \) reject the null
- \( \circ \) accept the null
- \( \circ \) fail to reject the null
#### Final Conclusion
As such, the final conclusion is that...
- \( \circ \) Because our p-value is less than alpha, we fail to reject the \( H_0 \). There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.
- \( \circ \) Because our p-value is greater than alpha, we reject the \( H_0 \). There is enough evidence to support the claim that the first population proportion is less than the second population proportion.
- \( \circ \) Because our p-value is less than alpha, we reject the \( H_0 \). There is enough evidence to support the claim that the first population proportion is less than the second population proportion.
- \( \circ \) Because our p-value is greater than alpha, we fail to reject the \( H_0 \). There is not enough evidence to support the claim that the first population proportion is less
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