Posted by **Megan** on Friday, November 11, 2011 at 2:30pm.

A nationwide study indicated that 27% of adults said that chocolate was their favorite ice cream flavor. A simple random sample of 150 adults is obtained.

A.) Describe the sampling distribtuion of p, the sample proportion of adults whose favorite ice cream flavor is chocolate. State the type of distribution, find its mean and the standard deviation.

B.) In a random sample of 150 adults, what is the probability tha at most 22% will say that their favorite ice cream flavor is chocolate?

C.) In a random sample of 150 adults, what is the probability that at most 22% and 30% will say that their favorite ice cream flavor is chocolate?

D.) Would it be unusual if a random sample of 150 adults reulted in 27 people that said that their favorite ice cream flavor was chocolate? Explain why yes or why no.

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