The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 128 out of a random sample of 205 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. 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 70%? OYes No μ |x X 04 a S X 00 Р O

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one
of the recycling centers has been relocated. If 128 out of a random sample of 205 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.
H₂:0
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.)
0
(e) Is there enough evidence to support the policy maker's claim that the
proportion of residents who recycle is less than 70%?
OYes No
μ
X
0=0
□ロ
X
σ
S
2
00
0<0
Р
<Q
OSO 020
S
olo
O>O
Transcribed Image Text:The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 128 out of a random sample of 205 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. H₂:0 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.) 0 (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes No μ X 0=0 □ロ X σ S 2 00 0<0 Р <Q OSO 020 S olo O>O
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