In: Statistics and Probability
An article regarding interracial dating and marriage recently appeared in a newspaper. Of the 1709 randomly selected adults, 315 identified themselves as Latinos, 323 identified themselves as blacks, 254 identified themselves as Asians, and 779 identified themselves as whites. Among Asians, 79% would welcome a white person into their families, 71% would welcome a Latino, and 66% would welcome a black person. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
Part (a) Construct the 95% confidence intervals for the three Asian responses. (Round your answers to four decimal places.) welcome a white person welcome a Latino , welcome a black person