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%.
Very simple. divide 3952 by 4, because the larger fish is 3 times the amount of the small fish, so there are 4 groups. Multiply it by 3 for the larger fish and keep it for the small fish. Then, divide the products by 13 because the quotient is the amount of money each fish costs. There you have your answer!
