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 245 babies born in the community, 103 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 H, and the alternative hypothesis H₁. HO H (b) Determine the type of test statistic to use. μ σ p x S

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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 245 babies born in the community, 103
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 H, and the alternative hypothesis H₁.
HO
H
(b) Determine the type of test statistic to use.
μ
σ
p
x
S
<a
t
Degrees of freedom:
ロ=ロ
□ㄨˇ □□
(c) Find the value of the test statistic. (Round to three or more decimal places.)
□≠ロ
□<ロ
(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%?
O Yes No
x
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 245 babies born in the community, 103 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 H, and the alternative hypothesis H₁. HO H (b) Determine the type of test statistic to use. μ σ p x S <a t Degrees of freedom: ロ=ロ □ㄨˇ □□ (c) Find the value of the test statistic. (Round to three or more decimal places.) □≠ロ □<ロ (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%? O Yes No x
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