Preemies. Among 242 Cleveland-area children bornprematurely at low birth weights between 1977 and 1979, only 74% graduated from high school. Among a compar-ison group of 233 children of normal birth weight, 83% were high school graduates. (“Outcomes in Young Adult-hood for Very-Low-Birth-Weight Infants,” New England Journal of Medicine, 346, no. 3 [2002])a) Create a 95% confidence interval for the differencein graduation rates between children of normal andchildren of very low birth weights. Be sure to checkthe appropriate assumptions and conditions.b) Does this provide evidence that premature birthmay be a risk factor for not finishing high school?Use your confidence interval to test an appropriatehypothesis.c) Suppose your conclusion is incorrect. Which type oferror did you make?

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Preemies. Among 242 Cleveland-area children born
prematurely at low birth weights between 1977 and 1979,
only 74% graduated from high school. Among a compar-
ison group of 233 children of normal birth weight, 83%
were high school graduates. (“Outcomes in Young Adult-
hood for Very-Low-Birth-Weight Infants,” New England
Journal of Medicine, 346, no. 3 [2002])
a) Create a 95% confidence interval for the difference
in graduation rates between children of normal and
children of very low birth weights. Be sure to check
the appropriate assumptions and conditions.
b) Does this provide evidence that premature birth
may be a risk factor for not finishing high school?
Use your confidence interval to test an appropriate
hypothesis.
c) Suppose your conclusion is incorrect. Which type of
error did you make?
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