Answer:
a) The interval is for those that want to get out earlier is 43 < n < 47 students
b) The interval is for those that want to get out later is 48 < n < 50 students
c) The group that wants to get out of school earlier could win if those who have no opinion vote with them
Step-by-step explanation:
Given that:
sample size (n) =128
mean = np where p is the probability
a) Probability of those that want to get out earlier = 0.35.
The mean of those that want to get out earlier = n × probability = 0.35 × 128 = 45
Margin of error = 4% = 0.04 × 45 = 1.8 ≈ 2
Therefore the interval = mean ± Margin of error = 45 ± 2 = (43, 47)
The interval is for those that want to get out earlier is 43 < n < 47 students
b) Probability of those that want to get out later = 0.39.
The mean = n × probability = 0.39 × 128 = 50
Margin of error = 4% = 0.04 × 50 = 2
Therefore the interval = mean ± Margin of error = 50 ± 2 = (48, 52)
The interval is for those that want to get out later is 48 < n < 50 students
c) The group that wants to get out of school earlier could win if those who have no opinion vote with them
