From a random sample of workers at a large corporation you find that 58% of 200 went on a vacation last year away from home for
at least a week.An approximate 95% confidence interval is (0.50, 0.66). Which of the following statements is a correct interpretation? a. 95% of the coworkers fall in the interval (0.50, 0.66).
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
c. We are 95% confident that between 50% and 66% of the samples will have a proportion near 58%.
d. There is a 95% chance that a random selected coworker has gone on a vacation last year away from home for at least a week.
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
Step-by-step explanation:
A confidence interval at the level of x% for a proportion being between a and b means that we are x% sure that the true proportion of the population is between a and b.
In this problem, we have that:
95% C.I is (0.5, 0.66)
Interpretation: 95% confident that the true proportion is between 0.5 and 0.66.
The correct answer is:
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
