Answered: The proportion p of residents in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

The proportion

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

126

out of a random sample of

215

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