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A new coffee drink called the PIN is being market tested. Four hundred customers were given the new drink to try. The consumers were asked

A new coffee drink called the PIN is being market tested. Four hundred customers were given the new drink to try. The consumers were asked whether they liked or disliked the drink. You are given their responses below.

Response Frequency

Liked 300

Disliked 100

400

a. What is the point estimate for the proportion of people who liked the PIN?

b. Construct a 97% confidence interval for the true proportion of people who liked the new drink.

c. With a .97 probability, how large of a sample needs to be taken to provide a margin of error of 4% or less?

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