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2. In 1898 the United States and Spain fought a war over the U.S. intervention in...

2.

In 1898 the United States and Spain fought a war over the U.S. intervention in the Cuban War of Independence. At that time the U.S. military was concerned about the nutrition of its recruits. Many did not have a sufficient number of teeth to chew the food provided to soldiers. As a result, it was likely that they would be undernourished and unable to fulfill their duties as soldiers. The require-ments at that time specified that a recruit must have "at least four sound double teeth, one above and one below on each side of the mouth, and so opposed" so that they could chew food. Of the 58954 recruits who were under the age of 20, 73 were rejected for this reason. For the 43784 recruits who were 40 or over, 3860 were rejected.

(a) Find the proportion of rejects for each age group ( ±±0.0001).

pˆ<20p^<20 =

pˆ40+p^40+ =

(b) Find a 99% confidence interval ( ±±0.001) for the difference in the proportions.

A 99% confidence interval is from ________ to _________

(c) Use a significance test to compare the proportions ( ±±0.001)

pˆp^ =

zz =

PP-value =

A. We have no evidence to conclude there was an age-group difference in the rejection rate
B. We have evidence to conclude there was an age-group difference in the rejection ratef
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