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 156 out of a random sample of 250 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 (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 8 ローロ b $ 6 2 P OSO 00
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 156 out of a random sample of 250 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 (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 8 ローロ b $ 6 2 P OSO 00
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 156 out of a random sample of
250 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.
H₁0
(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
H
Ix
X
D
0=0 OSO
☐<
P
$
olo
020
ロロ
Expert Solution

Step 1
We have given that
Sample size n =250
Favorable cases x =156
Sample proportion p^=x/n
=156/250
=0.624
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