. A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital malformations in the child. Among children who suffer from an abnormality other than Down’s syndrome or an oral cleft, 32.8% have mothers who smoked during pregnancy. You wish to determine if this proportion is the same for those children born with an oral cleft. In a random sample of 27 infants with an oral cleft, 15 had mothers who smoked during pregnancy. a. What is the estimate of the proportion of infants born with oral clefts whose mothers smoked during pregnancy? 0.15 0.56 1.79 0.328 b. Construct a 95% confidence interval for the true population proportion. (0.373, 0.747) (0.40, 0.72) (0.54, 0.58) c. What are the Null and Alternative Hypotheses of this test? Ho: p =/= 0.328 , Ha: p == 0.328 Ho: p >= 0.328 , Ha: p < 0.328 Ho: p <= 0.328 , Ha: p > 0.328 Ho: p == 0.328 , Ha: p =/= 0.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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2. A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital malformations in the child. Among children who suffer from an abnormality other than Down’s syndrome or an oral cleft, 32.8% have mothers who smoked during pregnancy. You wish to determine if this proportion is the same for those children born with an oral cleft. In a random sample of 27 infants with an oral cleft, 15 had mothers who smoked during pregnancy.

a. What is the estimate of the proportion of infants born with oral clefts whose mothers smoked during pregnancy?

0.15
0.56
1.79
0.328

b. Construct a 95% confidence interval for the true population proportion.

(0.373, 0.747)
(0.40, 0.72)
(0.54, 0.58)

c. What are the Null and Alternative Hypotheses of this test?

Ho: p =/= 0.328 , Ha: p == 0.328
Ho: p >= 0.328 , Ha: p < 0.328
Ho: p <= 0.328 , Ha: p > 0.328
Ho: p == 0.328 , Ha: p =/= 0.328

d. Conduct the test at the 0.05 level of significance.

e. Using Stata, determine the sample size required to have 80% power to detect an alternative of 40% at the 0.01 level of significance. 

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Follow-up Question

You would like to know whether the proportion of mothers who smoked during
pregnancy for children with an oral cleft is identical to the proportion of
mothers who smoked for children with other types of malformations. What is
the null hypothesis of the appropriate test?

Solution
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Follow-up Question

Conduct the test at the 0.01level of significance.

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