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 119 out of a random sample of 230 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 Ho and the alternative hypothesis H₁. H Р Ho :O X S H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ロ=ロ OSO 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) O

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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 119 out of a random sample of 230 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 Ho and the alternative hypothesis H₁.
μ
O
Р
Ho :O
S
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 critical 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
Ix
4
ローロ
0#0
X
On
OSO
O<O
<Q
00
ロマロ
O<O
3 ?
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 119 out of a random sample of 230 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 Ho and the alternative hypothesis H₁. μ O Р Ho :O S 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 critical 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 Ix 4 ローロ 0#0 X On OSO O<O <Q 00 ロマロ O<O 3 ?
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