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 115 out of a random sample of 215 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. H₂O 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.) 3 0 0=0 X S Â 06 3 OSO Р 000<0 ロマロ O>0

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

HW SEVENTEEN

 

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 115 out of a random sample of
215 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.)
(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 O No
H
XI
0 P
S
X
ロ=ロ OSO 020
ô
<> 0#0
5
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 115 out of a random sample of 215 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.) (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 O No H XI 0 P S X ロ=ロ OSO 020 ô <> 0#0 5
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