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Card 10 / 24:
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.
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.Which distribution should you use for this problem? Explain your choice.Construct a 95% confidence interval. State the confidence interval. Sketch the graph. Calculate the error bound.
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