A poll showed that when a sample of people in a certain country were asked whether they were thriving, struggling, or suffering, about 44% said that they were thriving. This problem has 8 parts to it.

a) Assuming the sample size was 900, how many in the sample said they were thriving?

b) Is the sample size large enough to apply the Central Limit Theorem? Yes or No is the sample size large enough, and is it less than, greater than, or equal to 10?

c) Find a 95% confidence interval for the proportion that said they were thriving (___, ___)

d) Find the width of the interval you found in part (C) by subtracting the lower limit from the upper limit. What is the width of the interval?