(a) Find the proportion of rejects for each age group. (b) Find a 99% confidence interval for the difference the proportions.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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significance test and use the scenario to explain the
meaning of the significance test.
8.40 Teeth and military service. 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
TOSE BOLDn
Transcribed Image Text:or cach scenario, perfor significance test and use the scenario to explain the meaning of the significance test. 8.40 Teeth and military service. 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 TOSE BOLDn
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Chapter 8 Inference for Proportions
they would be undernourished and unable to fulfill their
duties as soldiers. The requirements 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 58,952
recruits who were under the age of 20, 68 were rejected
for this reason. For the 43,786 recruits who were 40 or
over, 3801 were rejected.2"
(a) Find the proportion of rejects for each age group.
(b) Find a 99% confidence interval for the difference in
the proportions.
(c) Use a significance test to compare the proportions.
Write a short paragraph describing your results and
conclusions.
(d) Are the guidelines for the use of the large-sample
approach satisfied for your work in parts (b) and (c)?
Explain your answers. .
Transcribed Image Text:is hyp x A Calendar 6 IJSPT-12 6- x G what does G synonym fo x G synonyms f x G what th #view_name=month&view_start=2021-12-19 482 Chapter 8 Inference for Proportions they would be undernourished and unable to fulfill their duties as soldiers. The requirements 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 58,952 recruits who were under the age of 20, 68 were rejected for this reason. For the 43,786 recruits who were 40 or over, 3801 were rejected.2" (a) Find the proportion of rejects for each age group. (b) Find a 99% confidence interval for the difference in the proportions. (c) Use a significance test to compare the proportions. Write a short paragraph describing your results and conclusions. (d) Are the guidelines for the use of the large-sample approach satisfied for your work in parts (b) and (c)? Explain your answers. .
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