Many people claim they can distinguish the difference in taste between fish that has been frozen and fish that is prepared fresh. In an experiment, a random sample of 100 consumers is presented with two portions of cooked fish, one of each kind. Of these consumers, 64 can correctly distinguish between the fresh and the frozen fish.
a. Use a point estimate to estimate the proportion of people in the population who can make this distinction.
b. The answer to part a is an estimate and thus subject to variability. What is the estimated variance of this estimate?
c. Use the normal approximation to the binomial distribution in order to place a 95% confidence interval on the proportion.
d. Is there statistically significant evidence that some people can distinguish fresh fish and are not just guessing? Explain.