Question

Need help! Find the interval estimates for those that want to get out earlier and those that want to get out later. Explain how it would be possible for the group that wants to get out of school earlier to win after all the votes are counted

Answer 1

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