Which of the following is the correct interpretation of this confidence interval?
A beverage company would like to determine if their drink is preferred to a rival company’s drink. They perform an experiment with 150 randomly selected individuals and have them taste test the two different drinks in a controlled environment so that each person's preference is independent of others. A 90% confidence interval for the proportion preferring their drink is (0.453, 0.587). Which of the following is the correct interpretation of this confidence interval?
90% of all consumers prefer this beverage company’s drink to their rival’s between 45.3% and 58.7% of the time.
We’re 90% confident that between 45.3% and 58.7% of all consumers would prefer this beverage company’s drink to their rival’s drink.
We’re 90% confident that there’s a 45.3% to 58.7% chance that a randomly selected person would prefer this beverage company’s drink to their rival’s drink.
We’re 90% confident that the proportion of people in the sample who prefer this beverage company’s drink over their rival’s drink is between 0.453 and 0.587.
Between 45.3% and 58.7% of all consumers will prefer this beverage company’s drink to their rival’s drink 90% of the time.
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