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 45%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 160 babies born in the community, 54 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 45%. A pediatrician who works with several hospitals in the community
would like to verify the hospital's claim. In a random sample of 160 babies born in the community, 54
weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 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 H and the alternative hypothesis H₁.
HO
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.)
0
(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 45%?
OYes ONO
3
|x
X
0=0
0#0
X
O
S
OSO
0<0
Р
O>
2
ロミロ
O>O
Transcribed Image Text: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 45%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 160 babies born in the community, 54 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 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 H and the alternative hypothesis H₁. HO 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.) 0 (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 45%? OYes ONO 3 |x X 0=0 0#0 X O S OSO 0<0 Р O> 2 ロミロ O>O
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