Find the test statistic for this hypothesis test. | (Round to two decimal places as needed.)
Find the test statistic for this hypothesis test. | (Round to two decimal places as needed.)
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
I need help finding the test statistic (Z).
![One of the more popular statistics reported in the media is the president's job approval rating. The approval rating is reported as the proportion of the population who approve of the job that the sitting president is doing and is typically based on a random sample of registered voters where the sample size is the same week to week. Complete parts (a) and (b) below.
**a) This proportion tends to fluctuate from week to week. Name some reasons for the fluctuation in the statistic. Select all valid reasons below.**
- ☑️ A. The proportion could be changing because people's attitudes are changing.
- ⬜ B. The proportion could be changing due to a large change in the composition of the population.
- ☑️ C. The proportion could be changing due to sampling error; different people are in the sample.
- ⬜ D. The proportion could be changing because the sampling size of the poll is changing.
**b) A poll showed the approval rating to be 0.44 (44%). A second poll based on 2500 randomly selected voters showed that 1135 approved of the job the president was doing. Do the results of the second poll indicate that the proportion of voters who approve of the job the president is doing is significantly higher than the original level? Explain. Assume the α = 0.05 level of significance.**
Identify the null and alternative hypotheses for this test.
- ⬜ A. H₀: p = 0.44, H₁: p < 0.44
- ☑️ B. H₀: p = 0.44, H₁: p > 0.44
- ⬜ C. H₀: p > 0.44, H₁: p = 0.44
- ⬜ D. H₀: p = 0.44, H₁: p ≠ 0.44
- ⬜ E. H₀: p = 0.44, H₁: p = 0.44
- ⬜ F. H₀: p < 0.44, H₁: p = 0.44
Find the test statistic for this hypothesis test.
\[ z = \]
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8144bfd5-777f-438e-86de-04789e20c906%2F76a782c8-7184-45d0-9259-20f2dd487a64%2Fqfp6xn7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:One of the more popular statistics reported in the media is the president's job approval rating. The approval rating is reported as the proportion of the population who approve of the job that the sitting president is doing and is typically based on a random sample of registered voters where the sample size is the same week to week. Complete parts (a) and (b) below.
**a) This proportion tends to fluctuate from week to week. Name some reasons for the fluctuation in the statistic. Select all valid reasons below.**
- ☑️ A. The proportion could be changing because people's attitudes are changing.
- ⬜ B. The proportion could be changing due to a large change in the composition of the population.
- ☑️ C. The proportion could be changing due to sampling error; different people are in the sample.
- ⬜ D. The proportion could be changing because the sampling size of the poll is changing.
**b) A poll showed the approval rating to be 0.44 (44%). A second poll based on 2500 randomly selected voters showed that 1135 approved of the job the president was doing. Do the results of the second poll indicate that the proportion of voters who approve of the job the president is doing is significantly higher than the original level? Explain. Assume the α = 0.05 level of significance.**
Identify the null and alternative hypotheses for this test.
- ⬜ A. H₀: p = 0.44, H₁: p < 0.44
- ☑️ B. H₀: p = 0.44, H₁: p > 0.44
- ⬜ C. H₀: p > 0.44, H₁: p = 0.44
- ⬜ D. H₀: p = 0.44, H₁: p ≠ 0.44
- ⬜ E. H₀: p = 0.44, H₁: p = 0.44
- ⬜ F. H₀: p < 0.44, H₁: p = 0.44
Find the test statistic for this hypothesis test.
\[ z = \]
(Round to two decimal places as needed.)
Expert Solution

Step 1
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

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