did i understand this question properly and answer it correctly?

Question

An article regarding interracial dating and marriage recently appeared in the Washington
Post. Of the 1,709 randomly selected adults, 315 identified themselves as Latinos, 323 identified themselves as blacks, 254 identified themselves as Asians, and 779 identified themselves as whites. In this survey, 86% of blacks said that they would welcome a white person into their families. Among Asians, 77% would welcome a white person into their families, 71% would welcome a Latino, and 66% would welcome a black person.

 Construct a 95% confidence interval

 

n= 1709, p = 323/1709 = .189

=? ± Zα/2√(pq/n
= .189 + 1.96 * √ (.189)(.811) /1709
= .189 + 0.189404

= 0.170

 

= .189 - 1.96 * √ (.189)(.811) /1709
= .189 - 0.188596
= 0.190

 

(0.170, 0.190)

 

Calculate the error bound.

= (1.96) √ (.189)(.811)/1709
= 0.000404

Answer 1

Your question doesn't say a 95% confidence interval of what.

 

You calculated a confidence interval of the proportion of people who would identify themselves as black.