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 150 out of random sample of 230 residents in the community said they recycle, is there enough evidence to support th 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 H,. 0: 'H 0: H (b) Determine the type of test statistic to use. OSO RO (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.) O (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes ONo

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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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 150 out of
random sample of 230 residents in the community said they recycle, is there enough evidence to support th
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 H,.
0: 'H
0: H
(b) Determine the type of test statistic to use.
OSO
RO
(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.)
O
(e) Is there enough evidence to support the policy maker's claim that the proportion of
residents who recycle is less than 70%?
OYes ONo
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 150 out of random sample of 230 residents in the community said they recycle, is there enough evidence to support th 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 H,. 0: 'H 0: H (b) Determine the type of test statistic to use. OSO RO (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.) O (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes ONo
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