Question

how the answer to Problem 6 on the Unit 3 Review would change if it asked to estimate the difference in the percentage of teachers and students on campus who are in favor of including plus and minus in the school’s letter grading system.

Problem 6 Sierra College is considering the option to include plus and minus in the school’s letter grading system. An opinion poll was conducted on campus in order to gauge the reaction to this proposed change in the college’s grading system. As a result, 58.7% of the 167 students polled and 43.4% of the 83 teachers polled were in favor of including plus and minus in the school’s letter grading system. Estimate the difference in the percentage of students and teachers on campus who are in favor of including plus and minus in the school’s letter grading system. Express the estimate both symbolically and verbally

Answer 1

= percentage of students in favour of including plus and minus in the school's letter grading system.
= percentage of teachers in favour of including plus and minus in the school's letter grading system.
Now, from the question, we have the sample proportions, and . Here, = 58.7% and = 43.4%.

Hence, estimated difference in the percentage = = 15.3%.
Thus, 15.% is the estimated difference in the percentage of students and teachers on campus who are in favour of including plus and minus in the school’s letter grading system.