Based on their records, a hospital claims that the proportion,
p
, of full-term babies born in the community that weigh more than
7
pounds is
41%
. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of
230
babies born in the community,
76
weighed over
7
pounds. Is there enough evidence to reject the hospital's claim at the
0.10
level of significance?
Perform a two-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.â–¼(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)Can we reject the claim that the proportion of full-term babies born in the community that weigh more than
7
pounds is
41%
?
Yes
No