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 128 out of a random sample of 240 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 H0 and the alternative hypothesis H1 . H0: 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.)   (d) Find the critical 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
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Problem 8SGR
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Question

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

128

out of a random sample of

240

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
H0
and the alternative hypothesis
H1
.
H0:
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.)
 
(d) Find the critical 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
60%
?
 
Yes
 
No
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