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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  101  out of a random sample of  200  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 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  60% ?   Yes    No

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  101  out of a random sample of  200  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 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  60% ?   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
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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 
101
 out of a random sample of 
200
 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 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 
60%
?
 
Yes 
 
No
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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