2) [8 pts] To determine if a new instructional technology is effective in improving student scores, a professor
collects data and finds that 90 out of 100 randomly selected students who were in classes that used the
instructional technology passed the class and 76 out of 102 randomly selected students who were in classes
that did not use the instructional technology passed the class.
a) Construct and report a 95% confidence interval for the true difference between the proportion of
students using technology who passed and those not using technology who passed. Round answers to
3 decimal places.