In: Statistics and Probability
PROBLEM: An article regarding interracial dating and
marriage recently appeared in a newspaper. Of the 1710 randomly
selected adults, 315 identified themselves as Latinos, 325
identified themselves as blacks, 252identified themselves as
Asians, and 775 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.
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 (___,___)
b) Even though the three point estimates are different, do any of the confidence intervals overlap? Which? (Select all that apply.)
No confidence intervals overlap.
Yes, all three intervals overlap.
Yes, the intervals for whites and Latinos overlap.
Yes, the intervals for Latinos and blacks overlap.
Yes, the intervals for whites and blacks overlap.
Total No. Of adults is 1710
Number of adults identifies as latinos is 315
Number of adults identifies as black is 325
Number of adults identifies as white is 775