A statistics professor conducted a taste test with five

Last updated: 7/9/2022

A statistics professor conducted a taste test with five students. Students were randomly assigned to drink bottled water then tap water or tap water then bottled water. This was a single blinded experiment as the students were not aware of which water was being tasted. Students compared the taste of the two different water types and chose which one tasted better. Three students preferred bottled water and two students preferred tap water. A student calculated the 95% confidence interval of the proportion of students who favor bottled water and found (0.171, 1.029). What is the correct interpretation of this result? A. There is a 95% probability that the sample proportion lies between 0.171 and 1.029. B. We have 95% confidence that the true population proportion lies between 0.171 and 1.029. C. We have 95% confidence that the sample proportion lies between 0.171 and 1.029. D. The result should not be interpreted because the assumptions for confidence intervals of a population proportion were not met.