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 112 out of a random sample of 210 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 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. and the alternative hypothesis H₁ . H: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.) 0 (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 X ロ=ロ D X S 0° 0 믐 OSO □<口 P

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 112 out of a random sample of 210
residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 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. and the alternative hypothesis H₁.
H:0
H₂₁:0
(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%?
OYes O No
I IX
H
02
0=0
00
X
S
<D
p
76 8
<Q
--
3
OVO
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 112 out of a random sample of 210 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 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. and the alternative hypothesis H₁. H:0 H₂₁:0 (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%? OYes O No I IX H 02 0=0 00 X S <D p 76 8 <Q -- 3 OVO
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