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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 245 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 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 70% ?   Yes   No

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 245 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 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 70% ?   Yes   No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Question
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
245
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
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
70%
?
 
Yes
 
No
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