From a survey of coworkers you find that 48% of 200 have already received this year's flu vaccine. An approximate 95% confidence interval is (0.409, 0.551). Which of the following are true? If not, explain briefly.

a) 95% of the coworkers fall in the interval (0.409, 0.551).

b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 40.9% and 55.1%.

c) There is a 95% chance that a random selected coworker has received the vaccine.

d) There is a 48% chance that a random selected coworker has received the vaccine.

e) We are 95% confident that between 40.9% and 55.1% of the samples will have a proportion near 48%.