MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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by Bartleby Expert
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Follow-up Question

Conduct the test at the 0.01level of significance.

Solution
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by Bartleby Expert
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
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
Bartleby Expert
by Bartleby Expert
SEE SOLUTION
Follow-up Question

Conduct the test at the 0.01level of significance.

Solution
Bartleby Expert
by Bartleby Expert
SEE SOLUTION
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