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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 159 out of a random sample of 230 residents in the community said they recycle, is there enough evidence to support the policymaker'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 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 159 out of a random sample of 230 residents in the community said they recycle, is there enough evidence to support the policymaker'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 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
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 159 out of a random sample of 230 residents in the community said they recycle, is there enough evidence to support the policymaker'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 70%?
 
Yes 
 
No
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