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

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