Question

Probability Sampling You are interested in finding out the proportion of the population of UTSA students who are enrolled in majors within the College of Liberal and Fine Arts (COLFA). The UTSA registrar provides you a list of all registered students for Fall 2017. From this list, you select a random sample of 300 students and administer surveys to all of them. When you analyze your surveys you find that 22% of your sample identify as COLFA majors. You later check with the registrar’s office and find that according to official enrollment data, 20% of enrolled students in Fall 2017 were COLFA majors.

Population parameter: 20%

Sample statistic: 22%

Sampling error: _________

Please help me find the sampling error!

Answer 1

We have given sample size n = 300 , Population parameter P = 0.20 , sample statistic p^ = 0.22

We have asked to find sampling error.

We know that -

Sampling error =  $\sqrt$ [P * ( 1 - P )] / n

=  $\sqrt$[ 0.20 * ( 1 - 0.20 ) ] /300

=  $\sqrt$0.000533

= 0.0231 (Rounded to 4 decimal places )

Hope this will help you. Thank you :)