The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 150 out of a random sample of 235 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho : H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) . (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes O No Continue 3 μ Ix X a 0 00 ロメロ S X 0=0 OSO N
The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 150 out of a random sample of 235 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho : H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) . (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes O No Continue 3 μ Ix X a 0 00 ロメロ S X 0=0 OSO N
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
![**Educational Website Text Transcription:**
---
**Statistical Hypothesis Testing: Recycling in a Community**
The proportion \( p \) of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 150 out of a random sample of 235 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
**(a)** State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
- \( H_0 : \) [ ]
- \( H_1 : \) [ ]
**(b)** Determine the type of test statistic to use.
- [Dropdown menu to choose]
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
- [Input field]
**(d)** Find the p-value. (Round to three or more decimal places.)
- [Input field]
**(e)** Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%?
- [ ] Yes
- [ ] No
---
No graphs or diagrams are present in the image. In the hypothesis testing boxes, users are expected to fill in the propositions. The dropdown menu and input fields are intended for interactive engagement where students input their solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5da94fe-19e7-4c6f-a636-47d7a1fa1ee8%2Fd0d7300a-6204-48c3-8616-25d718bca1c0%2F98x2td9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Text Transcription:**
---
**Statistical Hypothesis Testing: Recycling in a Community**
The proportion \( p \) of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 150 out of a random sample of 235 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
**(a)** State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
- \( H_0 : \) [ ]
- \( H_1 : \) [ ]
**(b)** Determine the type of test statistic to use.
- [Dropdown menu to choose]
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
- [Input field]
**(d)** Find the p-value. (Round to three or more decimal places.)
- [Input field]
**(e)** Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%?
- [ ] Yes
- [ ] No
---
No graphs or diagrams are present in the image. In the hypothesis testing boxes, users are expected to fill in the propositions. The dropdown menu and input fields are intended for interactive engagement where students input their solutions.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
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