A taste test has customers taste two types of cola drinks and asks which is preferred. An analyst then finds the sample proportion  who prefer Brand 1. The analyst will conclude that customers prefer...

A taste test has customers taste two types of cola drinks and asks which is preferred. An analyst then finds the sample proportion
 who prefer Brand 1. The analyst will conclude that customers prefer one brand to the other if a 95% confidence interval for the population proportion
 does not include
. Which interval is more likely to include
, the small sample interval discussed in this chapter or the
-interval for the proportion?