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

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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 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
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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