College Enrollment (Women) According to the Bureau of Labor Statistics, 71.9 % of young women enroll in college directly after high school graduation. Suppose a random sample of 200 female high school graduates is selected and the proportion who enroll in college is obtained. a. What value should we expect for the sample proportion? b. What is the standard error? c. Would it be surprising if only 68 % of the sample enrolled in college? Why or why not? d. What effect would increasing the sample size to 500 have on the standard error?
College Enrollment (Women) According to the Bureau of Labor Statistics, 71.9 % of young women enroll in college directly after high school graduation. Suppose a random sample of 200 female high school graduates is selected and the proportion who enroll in college is obtained. a. What value should we expect for the sample proportion? b. What is the standard error? c. Would it be surprising if only 68 % of the sample enrolled in college? Why or why not? d. What effect would increasing the sample size to 500 have on the standard error?
Solution Summary: The author explains that the sample proportion is equal to the population proportion, and the standard error is 0.0317.
College Enrollment (Women) According to the Bureau of Labor Statistics,
71.9
%
of young women enroll in college directly after high school graduation. Suppose a random sample of 200 female high school graduates is selected and the proportion who enroll in college is obtained.
a. What value should we expect for the sample proportion?
b. What is the standard error?
c. Would it be surprising if only
68
%
of the sample enrolled in college? Why or why not?
d. What effect would increasing the sample size to 500 have on the standard error?
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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Part (b)
Draw a scatter plot of the ordered pairs.
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Life
Expectancy
Life
Expectancy
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70
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50
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Year of
1950
1970 1990
2010 Birth
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Life
Expectancy
Part (c)
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70
60
50
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1950
1970 1990
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Year of
2010 Birth
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Year of
1950 1970 1990
2010 Birth
Life
Expectancy
Ox
800
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Year of
1950 1970 1990 2010 Birth
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Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore
McGill…
Name
Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore…
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