a. Assuming that the 1001 responses came from a simple random sample, estimate the time proportion of emigrants who would answer "yes" to this question. Calculate the standard error of the estimate. B. Find a post stratification estimate of the true population of "yes" answers among emigrants from Cuba, along with an approximate standard error. Comment on the gain in precision due to post stratification.

Problem 3 [15 points]: In the late 1990s, a sample survey of people emigrating from Cuba to Florida was conducted to obtain their opinion 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 questions was: In you opinion, has the Revolution attained accomplishments in education? The following table shows a summary of the responses by racial group. Yes No Total White 566 304 870 Black 102 29 131 Total 668 333 1001 Since the population of Cuba, N, is large relative to the sample size n = 1001, it is reasonable to ignore the finite population correction