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
Related questions
Question
![### 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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman