(Answered) Illustrate what is the margin of error for the 95

Management Studies

Q. A new brand of breakfast cereal is being market tested. One hundred boxes of the cereal were given to consumers to try. The consumers were asked whether they liked or disliked the cereal. You are given their responses below.

Response Frequency

Liked 60
Disliked 40
100

a. Illustrate what is the point estimate of the proportion of people who will like the cereal?

b. Construct a 95% confidence interval for the proportion of all consumers who will like the cereal.

c. Illustrate what is the margin of error for the 95% confidence interval that you constructed in part b?

d. With a .95 probability, explain how large of a sample needs to be taken to provide a margin of error of .09 or less?

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