The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 116 out of a random sample of 225 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) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O 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.) 0 (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 60%? OYes O No u Ix X ローロ X O S 2 Do OSO 0<0 S Р O
The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 116 out of a random sample of 225 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) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O 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.) 0 (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 60%? OYes O No u Ix X ローロ X O S 2 Do OSO 0<0 S Р O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The proportion \( p \) of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 116 out of a random sample of 225 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) 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.
\( \text{[Choose one]} \)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \]
(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 60%?
\( \text{[Yes]} \) \( \text{[No]} \)
The right side of the image contains symbols and notations for mathematical expressions commonly used in hypothesis testing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc76302d8-8316-4723-aa90-6b1c8383fd94%2Fec6827b3-bd09-4df4-bd5d-06ed7dbfb903%2F5nnb1u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The proportion \( p \) of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 116 out of a random sample of 225 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) 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.
\( \text{[Choose one]} \)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \]
(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 60%?
\( \text{[Yes]} \) \( \text{[No]} \)
The right side of the image contains symbols and notations for mathematical expressions commonly used in hypothesis testing.
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