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.

a.

We are interested in finding the 95% confidence interval for the percent of all black adults who would welcome a

white person into their families. Define the random variables

X

and

P

, in words.

b.

Which distribution should you use for this problem? Explain your choice.

c.

Construct a 95% confidence interval.

i.

State the confidence interval.

ii.

Sketch the graph.

iii.

Calculate the error bound