Final answer:
The question is about finding the confidence interval for the proportion of Americans who believe immigration should be increased, based on a poll result showing 20.0 percent in favor. Specific values for the lower and upper bounds of the confidence interval (x and y) cannot be provided without additional information such as the standard error or the z-score for a 95% confidence interval.
Step-by-step explanation:
The student's question pertains to constructing a confidence interval for a proportion based on the results of a poll conducted by the Associated Press.
The poll found that 20.0 percent of 1,200 Americans believe immigration to the United States should be increased, and the student seeks to find the range (bounded by values x and y) within which we are 95 percent confident that the true percentage of Americans harboring this belief would fall.
To accurately respond to this, one would typically use a formula for a confidence interval for a population proportion which involves the sample proportion, the z-score associated with the desired level of confidence, and the sample size. However, since exact numerical values for x and y were not provided, it is not possible to give a specific answer without those critical values or additional context (such as the standard error or the specific confidence level in numerical form).