A Confidence Interval for 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 Asians, 77% would welcome a White person into their families, 71% would welcome a Hispanic/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.
(a) State the confidence interval.
(b) Sketch the graph.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Business Statistics 2e · §8.3 A Confidence Interval for A Population Proportion · Exercise 37
No hints for this one.
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