3. (Please on a paper) It has been reported that almost 75% of chocolate consumers like traditional ingredients such as nuts or caramel in their chocolate. A random sample of 200 consumers is selected and the number who like nuts or caramel in their chocolate is recorded. Do not apply the continuity correction in this problem. 1. What is the approximate sampling distribution for the sample proportion ˆp? What are the mean and standard deviation for this distribution?  2. What is the probability that the sample percentage is greater then 80%?  3. Within what limits would you expect the sample proportion to lie about 95% of the time?

A First Course in Probability (10th Edition)
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3. (Please on a paper) It has been reported that almost 75% of chocolate consumers like traditional
ingredients such as nuts or caramel in their chocolate. A random sample of 200 consumers is selected and
the number who like nuts or caramel in their chocolate is recorded. Do not apply the continuity correction
in this problem.
1. What is the approximate sampling distribution for the sample proportion ˆp? What are the mean
and standard deviation for this distribution? 
2. What is the probability that the sample percentage is greater then 80%? 
3. Within what limits would you expect the sample proportion to lie about 95% of the time?

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