Oh, Nuts! Are you a chocolate purist, or doyou like other ingredients in your chocolate?

Chapter 7, Problem 47

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Oh, Nuts! Are you a chocolate purist, or doyou like other ingredients in your chocolate? AmericanDemographics reports that almost 75% of consumerslike traditional ingredients such as nuts or caramel intheir chocolate. They are less enthusiastic about thetaste of mint or coffee that provide more distinctiveflavors.14 A random sample of 200 consumers isselected and the number who like nuts or caramel intheir chocolate is recorded.a. What is the approximate sampling distribution forthe sample proportion p? What are the mean andstandard deviation for this distribution?b. What is the probability that the sample percentageis greater than 80%?c. Within what limits would you expect the sampleproportion to lie about 95% of the time?

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