Q1) Assume that 300 students who are fans of the TV show "The Office" are sampled and 231 of them had GPAs higher than 2.5. Then 400 students who dislike that TV show are sampled and 272 of them have GPAs higher than 2.5. Determine the 95% confidence interval for difference between proportions of students having GPAs higher than 2.5.

1) (-1.96,1.96)

2) (0.68,0.77)

3) (0.023,0.157)

4) (0.056,0.124)

5) None of the above (do allow for slight rounding errors/table differences in selecting your solution)

Q2) All else being equal, what occurs to your confidence interval when you increase value of alpha?

i) Your probability (confidence) increases and your interval gets wider

ii) Your probability (confidence) decreases and your interval gets wider

iii) Your probability (confidence) increases and your interval gets narrower

iv) Your probability (confidence) decreases and your interval gets narrower

v) None of the above