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 200 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, and the alternative hypothesis H₁. HO H, D (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 H X O S 00 ローロ OSO メロ 0<0 Р ô OC 020 >O Español Tod D V

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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 200 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 :D
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%?
OYes No
P
X
a
S
X
00
Р
ローロ OSO 020
<Q 00
00 0<0 O>O
S
Español
?
區
1
As
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 200 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 :D 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%? OYes No P X a S X 00 Р ローロ OSO 020 <Q 00 00 0<0 O>O S Español ? 區 1 As
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