A Population Proportion · Exercise 37
An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709 randomly selected adults, 315 identified themselves as Hispanic/Latino, 323 identified themselves as Black, 254 identified themselves as Asian, and 779 identified themselves as White. In this survey, 86% of Black people said that they would welcome a White person into their families. Among Asian people, 77% would welcome a White person into their families, 71% would welcome a Hispanic/Latino person, 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.
(a) State the confidence interval.
(b) Sketch the graph.
(c) Calculate the error bound.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Statistics 2e · §8.3 A Population Proportion · Exercise 37
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