Question

From a survey of coworkers you find that 51% of 250 have already received this​ year's flu vaccine. An approximate 95​% confidence interval is ​(0.447​, 0.573​).Which of the following are​ true? Explain why you think whethere it's ture or not please. Thank you so much:)a) 95​% of the coworkers fall in the interval ​(0.447​, 0.573​).​b) We are 95​% confident that the proportion of coworkers who have received this​ year's flu vaccine is between 44.7​% and 57.3​%.​c) There is a 95​% chance that a random selected coworker has received the vaccine.d) There is a 51​% chance that a random selected coworker has received the vaccine.​e) We are 95​% confident that between 44.7​% and 57.3​% of the samples will have a proportion near 51​%.

Answer 1

Answer:

b) We are 95​% confident that the proportion of coworkers who have received this​ year's flu vaccine is between 44.7​% and 57.3​%

Step-by-step explanation:

a) 95​% of the coworkers fall in the interval ​(0.447​, 0.573​).​

False. This interval is about the worker's flu vaccine proportion

b) We are 95​% confident that the proportion of coworkers who have received this​ year's flu vaccine is between 44.7​% and 57.3​%.​

True. 95% confidence level suggests that.

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

False. A random selected coworker has received the vaccine proportion is between 44.7​% and 57.3​%.

d) There is a 51​% chance that a random selected coworker has received the vaccine

False. This chance is between  44.7​% and 57.3​% in 95% confidence level.

​e) We are 95​% confident that between 44.7​% and 57.3​% of the samples will have a proportion near 51​%.

False. This sentence is not meaningful.