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The proportion 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 111 out of a random sample of 220 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. μ σ р Ho H₁ : H, : 0 (b) Determine the type of test statistic to use. t Degrees of freedom: (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%? O Yes No x❘ ロ=ロ S □□ □≠□ □<□ G == □□

The proportion 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 111 out of a random sample of 220 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. μ σ р Ho H₁ : H, : 0 (b) Determine the type of test statistic to use. t Degrees of freedom: (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%? O Yes No x❘ ロ=ロ S □□ □≠□ □<□ G == □□

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
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The proportion 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 111 out of a random sample of 220 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. μ σ р Ho H₁ : H, : 0 (b) Determine the type of test statistic to use. t Degrees of freedom: (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%? O Yes No x❘ ロ=ロ S □□ □≠□ □<□ G == □□ <O
Transcribed Image Text:The proportion 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 111 out of a random sample of 220 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. μ σ р Ho H₁ : H, : 0 (b) Determine the type of test statistic to use. t Degrees of freedom: (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%? O Yes No x❘ ロ=ロ S □□ □≠□ □<□ G == □□ <O
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