A large university is interested in the outcome of a coursestandardization process. They have taken a random sample of 100student grades, across all instructors. The grades represent theproportion of problems answered correctly on a midterm exam. Thesample proportion correct was calculated as 0.78.
a. Construct a 90% confidence interval on the populationproportion of correctly answered problems.
b. Construct a 95% confidence interval on the populationproportion of correctly answered problems.