Homework Help is Here – Start Your Trial Now!
Math
Statistics
Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p, #P2. Sample data are x, = 28, n, = 255, x2 = 38, and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P, = p2 versus H,: p, P2 O D. Ho: P, = 0 versus H,: p, = 0 (b) The test statistic z, is. (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Do not reject the null hypothesis because there is sufficient evidence to conclude that P, >P2. O B. Reject the null hypothesis because there sufficient evidence to conclude that p, P2. OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, #p2- O D. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <2

Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p, #P2. Sample data are x, = 28, n, = 255, x2 = 38, and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P, = p2 versus H,: p, P2 O D. Ho: P, = 0 versus H,: p, = 0 (b) The test statistic z, is. (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Do not reject the null hypothesis because there is sufficient evidence to conclude that P, >P2. O B. Reject the null hypothesis because there sufficient evidence to conclude that p, P2. OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, #p2- O D. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

help with hw

## Hypothesis Testing at α = 0.05 Significance Level **Objective:** Conduct a hypothesis test to determine whether \( p_1 \neq p_2 \). The sample data are as follows: \( x_1 = 28 \), \( n_1 = 255 \), \( x_2 = 38 \), \( n_2 = 302 \). Assume simple random sampling. ### Steps: ### (a) Determine the Null and Alternative Hypotheses: Choose the correct pair: - **A.** \( H_0: p_1 = p_2 \) versus \( H_1: p_1 < p_2 \) - **B.** \( H_0: p_1 = p_2 \) versus \( H_1: p_1 \neq p_2 \) - **C.** \( H_0: p_1 = p_2 \) versus \( H_1: p_1 > p_2 \) - **D.** \( H_0: p_1 = 0 \) versus \( H_1: p_1 = 0 \) ### (b) Test Statistic \( z_0 \): Calculate and fill in the test statistic value. - \( z_0 = \_ \) (Round to two decimal places as needed.) ### (c) P-value: Determine and input the P-value. - P-value = \_ (Round to three decimal places as needed.) ### Conclusion: Choose the correct conclusion about the null hypothesis: - **A.** Do not reject the null hypothesis because there is sufficient evidence to conclude that \( p_1 > p_2 \). - **B.** Reject the null hypothesis because there is sufficient evidence to conclude that \( p_1 \neq p_2 \). - **C.** Do not reject the null hypothesis because there is not sufficient evidence to conclude that \( p_1 \neq p_2 \). - **D.** Reject the null hypothesis because there is not sufficient evidence to conclude that \( p_1 < p_2 \).
Transcribed Image Text:## Hypothesis Testing at α = 0.05 Significance Level **Objective:** Conduct a hypothesis test to determine whether \( p_1 \neq p_2 \). The sample data are as follows: \( x_1 = 28 \), \( n_1 = 255 \), \( x_2 = 38 \), \( n_2 = 302 \). Assume simple random sampling. ### Steps: ### (a) Determine the Null and Alternative Hypotheses: Choose the correct pair: - **A.** \( H_0: p_1 = p_2 \) versus \( H_1: p_1 < p_2 \) - **B.** \( H_0: p_1 = p_2 \) versus \( H_1: p_1 \neq p_2 \) - **C.** \( H_0: p_1 = p_2 \) versus \( H_1: p_1 > p_2 \) - **D.** \( H_0: p_1 = 0 \) versus \( H_1: p_1 = 0 \) ### (b) Test Statistic \( z_0 \): Calculate and fill in the test statistic value. - \( z_0 = \_ \) (Round to two decimal places as needed.) ### (c) P-value: Determine and input the P-value. - P-value = \_ (Round to three decimal places as needed.) ### Conclusion: Choose the correct conclusion about the null hypothesis: - **A.** Do not reject the null hypothesis because there is sufficient evidence to conclude that \( p_1 > p_2 \). - **B.** Reject the null hypothesis because there is sufficient evidence to conclude that \( p_1 \neq p_2 \). - **C.** Do not reject the null hypothesis because there is not sufficient evidence to conclude that \( p_1 \neq p_2 \). - **D.** Reject the null hypothesis because there is not sufficient evidence to conclude that \( p_1 < p_2 \).
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS