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 156 out of a random sample of 250 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.01 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) Find the p-value. (Round to three or more decimal places.) 0 (b) 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 H X 9 ローロ O S OSO □<ロ Р 00 D □<ロ
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 156 out of a random sample of 250 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.01 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) Find the p-value. (Round to three or more decimal places.) 0 (b) 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 H X 9 ローロ O S OSO □<ロ Р 00 D □<ロ
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
Nm 15
![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 156 out of a random sample of 250 residents in the community said they recycle, is there enough evidence to support the policy maker’s claim at the 0.01 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) Find the \( p \)-value. (Round to three or more decimal places.)
[Box for answer]
(b) Is there enough evidence to support the policy maker’s claim that the proportion of residents who recycle is less than 70%?
[Option buttons] Yes / No
**Diagram Explanation:**
There is a symbols chart depicted on the right-hand side, including symbols for:
- Mean (\( \mu \))
- Standard deviation (\( \sigma \))
- Proportion (\( p \))
- Sample mean (\( \bar{x} \))
- Sample standard deviation (\( s \))
- Sample proportion (\( \hat{p} \))
- Sample size (\( n \))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20615b5a-5cc8-4a58-b27f-0daf109d4029%2F2d7c06fd-1212-4361-aa24-e69979a91b95%2Ftikme6_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 156 out of a random sample of 250 residents in the community said they recycle, is there enough evidence to support the policy maker’s claim at the 0.01 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) Find the \( p \)-value. (Round to three or more decimal places.)
[Box for answer]
(b) Is there enough evidence to support the policy maker’s claim that the proportion of residents who recycle is less than 70%?
[Option buttons] Yes / No
**Diagram Explanation:**
There is a symbols chart depicted on the right-hand side, including symbols for:
- Mean (\( \mu \))
- Standard deviation (\( \sigma \))
- Proportion (\( p \))
- Sample mean (\( \bar{x} \))
- Sample standard deviation (\( s \))
- Sample proportion (\( \hat{p} \))
- Sample size (\( n \))
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