Estimating Sample Size In the 2018 study Closing the STEM Gap, researchers wanted to estimate the percentage of middle school girls who planned to major in a STEM field. a. If a 95 % confidence level is used, how many people should be included in the survey if the researchers wanted to have a margin of error of 3 % ? b. How could the researchers adjust their margin of error if they want to decrease the number of study participants?
Estimating Sample Size In the 2018 study Closing the STEM Gap, researchers wanted to estimate the percentage of middle school girls who planned to major in a STEM field. a. If a 95 % confidence level is used, how many people should be included in the survey if the researchers wanted to have a margin of error of 3 % ? b. How could the researchers adjust their margin of error if they want to decrease the number of study participants?
Solution Summary: The author explains the relationship between the margin of error and the sample size.
Estimating Sample Size In the 2018 study Closing the STEM Gap, researchers wanted to estimate the percentage of middle school girls who planned to major in a STEM field.
a. If a
95
%
confidence level is used, how many people should be included in the survey if the researchers wanted to have a margin of error of
3
%
?
b. How could the researchers adjust their margin of error if they want to decrease the number of study participants?
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)
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Elementary Statistics: Picturing the World (7th Edition)
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