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. Is the response to this question qualitative or quantitative?
Explain.
(b) Explain why the sample proportion, pn, is a random variable. What is the source of the
Variability?
(c) Describe the sampling distribution of pn, the proportion of Americans who can order a meal
in a foreign language. Be sure to verify the model requirements.
(d) 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?
(e) Would it be unusual that, in a survey of 200 Americans, 80 or fewer Americans can order a
meal in a foreign language? Why?