Question 9

Theproportion

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

123

out of a random sample of

210

residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the

0.05

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 alist 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 thep-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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