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.
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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