In the late 1990s a sample survey of people emigrating from Cuba to Florida was conducted to…

In the late 1990s a sample survey of people emigrating from Cuba to Florida was conducted to obtain their opinions on conditions in their homeland. Among the 1001 sampled individuals, 87% were white and 13% were African American. It is known from census data on Cuba that the country has approximately 60% whites and 40% African Americans. One of the questions asked was In your opinion, has the Revolution attained accomplishments in education? The accompanying table shows a summary of the responses by racial group.

a. Assuming that the 1001 responses came from a simple random sample of emigrants, estimate the true proportion of emigrants who would answer “yes” to this question. Calculate an appropriate margin of error.

b. Construct a poststratification estimate of the true proportion of “yes” answers among emigrants from Cuba, with an appropriate margin of error. Comment on whether or not poststratification pays any dividends in this situation.