e 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 the recycling centers has been relocated. If 138 out of a random sample of 220 residents in the community said they recycle, is there enough evidence to upport the policy maker's claim at the 0.10 level of significance? erform 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.) μ |x X 5 O S 00 Р ☐☐ 0<0 ê ローロ OSO 020 0<0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
SU
PO
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 138 out of a random sample of 220 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 : 0
H₁
(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 p-value. (Round to three or more decimal places.)
7
(e) Is there enough evidence to support the policy maker's claim that the
proportion of residents who recycle is less than 70%?
X
Yes No
W
U
X
ㅁ
0=0
*
X
O
SO
5
р
<Q
20
Transcribed Image Text:SU PO 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 138 out of a random sample of 220 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 : 0 H₁ (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 p-value. (Round to three or more decimal places.) 7 (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? X Yes No W U X ㅁ 0=0 * X O SO 5 р <Q 20
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