According to a study done by Wakeeld Research, the proportion of Americans who can order a meal

According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

(a) Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. Describe the sampling distribution of , the proportion of Americans who can order a meal in a foreign language. Be sure to verify the model requirements.

(b) In the sample obtained in part (a), what is the probability the proportion of Americans who can order a meal in a foreign language is greater than 0.5?

(c) Would it be unusual that, in a survey of 200 Americans, 80 or fewer Americans can order a meal in a foreign language? Why?